7.1 Significance of question: are there laws in S.S.? (Why care?) Possible answers:

Size: px
Start display at page:

Download "7.1 Significance of question: are there laws in S.S.? (Why care?) Possible answers:"

Transcription

1 I. Roberts: There are no laws of the social sciences Social sciences = sciences involving human behaviour (Economics, Psychology, Sociology, Political Science) 7.1 Significance of question: are there laws in S.S.? (Why care?) Possible answers: a) The existence of laws in the social sciences is incompatible with human freedom. Why rejected? Laws in S.S. are compatible with deterministic freedom. Laws in S.S. are compatible even with indeterminism. Non-existence of laws in S.S. is compatible with determinism. b) The existence of laws in the social sciences is a necessary condition if they are to count as genuine science. [cf. Hempel s D-N model] Why rejected? Explanations and predictions need not invoke laws. c) Physics ( paradigm science) has laws; other fields count as science to the extent that they resemble physics. Why rejected? Roberts thesis: Roberts substitutes a sociological characterization of science, to which social sciences conform. Qu: Is this circular? Better: The existence of laws is not an a priori requirement. The question is significant because if we assume that the social sciences are sciences, and we can establish the non-existence of laws in the social sciences, then existence (or discovery) of laws cannot be the hallmark of a science.

2 2 7.2 What is a law? If there are no laws, then there are no laws in social sciences and Roberts point is established. So Roberts assumes that laws exist in physics. 1. Laws are closely related to regularities [identical to or entail]. Three kinds of regularity: A) Strict regularity All copper conducts electricity. B) Statistical regularity Any atom of U 238 has probability 0.5 of decay within 4.5 billion years C) Hedged (ceteris Possible ex: Law of supply and demand. Paribus) regularity If quantity supplied increases while demand function remains unchanged, the price decreases, etc. Hedged regularities: - rules of thumb for prediction and explanation - false in too many special cases to be reformulated as either a strict regularity or a statistical regularity. - exceptions are not made explicit and cannot be spelled out except by saying if no interference, or ceteris paribus [Cartwright: all laws are hedged?] Note: there is no statistical regularity if the reference class can clearly be partitioned (footnote 3). 2. Laws have a modal character. Laws vs. accidental regularities. Modal character: for Dretske, Cartwright and others, it s because laws are not about objects in the world, but something different. 3. Laws are robust (= not fragile ). [Necessary for lawhood; see note 6.] Rejects: Law = general, true, contingent, plays a role in explanation Fragile = too easily upset by change [Ex: Sea water is salty ]

3 3 7.3 Three distinct questions Are there laws in the social sciences? could mean any of the following three questions: Question: (A) Have social scientists discovered any laws? Roberts: No. (B) Are there really any laws within the subject matter of the social sciences? Roberts: No (focus of argument). (C) Do successful theories in social sciences posit laws? Roberts: Charitably, no (and ignore all talk of laws). For the analogous questions about physics: Roberts answers Probably not for (a), and Maybe for (b). Yet he takes physicists at their word to answer Yes for (c). Why not same for soc. sci.? Clarification: Laws within soc. sci. = laws formulated using concepts of soc. sci. (i.e., properties and kinds drawn from soc. sci.). All politicians fall with acceleration = 9.8 m/s 2 near the surface of the earth does not count.

4 4 7.4 The main argument against laws in social sciences 1. Laws in social sciences could only be hedged laws; but 2. There are no hedged laws. A hedged law is a law that is (or entails) only a hedged regularity. Question: Why not the following easier argument? 1. Laws in social sciences could only be hedged laws in the social sciences; but 2. There are no hedged laws in the social sciences? In fact, Roberts may be arguing for 2 instead of 2.

5 5 7.5 Laws in social sciences could only be hedged laws 1. Example: the law of supply and demand. - cannot be a strict law: clear exceptions [rent control, impending meteor crash, etc.] - cannot be a statistical law Qu: What is the argument here? So it must be a hedged law: we can t specify all the exceptions. 2. Objection: it could be a strict law: If conditions C obtain, then... Roberts dilemma: either C there is a violation [and we then have a tautology] or C is characterized disjunctively, and it s inexhaustible. Diagnosis: kinds in the social sciences are multiply realizable. A social system supervenes on the underlying physical system. [No change in social system w/o change in the physical system.] A large and heterogeneous class of physical systems could realize any social kind. And how the social system will evolve depends greatly on the details of the physical system. **Any law that would work across the range of physical systems would be uselessly weak. Question: What about similar objections to laws in physics? (E.g., laws of thermodynamics/stat. mech., where there is a tiny probability of decreased entropy. Or Lang s example: Metal bars expand when heated.) Alternatively: could these be statistical laws after all?

6 6 7.6 Case against hedged laws (in general or in S.S.?) Basic argument: 1. Any hedged law either is or would entail a hedged regularity. [ 7.2] 2. There is no coherent concept of hedged regularity that could be or be entailed by a social science law. Hedged regularity: When A happens, B happens unless there is interference. Roberts point: We have to have some non-tautological way to identify what would count as interference. There are only two serious options. (1) An interference is any cause of B failing to happen. Objection: leads to too many hedged regularities. Ex: Every sphere is magnetic. Question: Is there hope for this view if interference is characterized more precisely? (2) We can t identify the class of interferences, but we understand in context what counts as interference. Example: Metal rods expand when heated. Hitting with a sledgehammer counts as interference. Objection: No help in social sciences. Multiple realizability in complex physical system nobody could have an implicit grasp of interference. Questions: 1) Is Roberts now working with 2 instead of 2? 2) Is the no implicit grasp claim obviously correct?

7 7 7.7 Social Sciences don t need laws Example: studies of agrarian political systems and their link to revolution Kincaid: Roberts: These are laws (albeit hedged laws). These are not laws, but projectible statistical results suitable for prediction and explanation. They may be strict or statistical regularities. But they are too fragile to be laws: they could be too easily upset by changes in circumstances. Question: Does Roberts objection rest on intuitions about fragility that are ultimately circular?

8 8 II. Kincaid: There are laws in the social sciences Paradigm: the law of supply and demand 8.1, 8.2: What is a Law? First answer: an exceptionless generalization (about human society, for the social sciences) Familiar objections (generalizations that aren t laws): - wrong level of description ( Humans are attracted by gravity. ) - logical truths ( Human societies are populated by humans. ) - accidental regularities ( No state has lasted > 1000 years. ) Strategy: Look at paradigm cases and extract the essential features. Main claim: Any statement that picks out causal factors is a law. Comment: Kincaid seems to be setting the bar for lawhood very low. That leads to a battery of objections.

9 9 In defence of main claim: 1. Not universal regularities. Cartwright shows that laws identify explanatory factors without generating accurate universal regularities. Kincaid embraces this view of laws. 2. Laws need not be causal. No problem he is looking at one category of law. Laws as causal factors conception seems legitimate, even if it is just one kind of law. 3. Singular causal claims can t be laws. One can avoid reference to particulars by reformulating the claim. [A better response is Hempel s idea: every singular causal claim implies some general relationship holds over a range of nearby cases.] 4. Laws are non-accidental, they support counterfactuals, and they lead to prediction; causal factors may do none of these. Response: no fundamental division between laws and other types of causal claims. It s just a matter of degree (scope). In particular: any causal claim supports some counterfactuals and some predictions. [Compare: Woodward s invariants are like little laws.] 5. Laws describe fundamental causal forces that aren t the result of deeper forces. This is too demanding, even within the physical sciences. Derivative laws should count as laws: they can explain and predict. But: at the very end, he backs off from his main claim to suggest that laws identify causal factors with significant or wide potential for explanation and prediction. Question: Is there a purely metaphysical conception of law (causal factors) or a partly pragmatic one (significant potential = widely used in explanation and prediction)?

10 Problems and Prospects for General Causal Knowledge Pattern for establishing causal knowledge (causal inference): Start with background knowledge about possible causes, known causes Observe how changes in some (variables) lead to changes in others Ideal: all possible causal factors known; all but one held fixed. Possible obstacles to employing this type of reasoning in social sciences: Nonexperimental. Response: Experiment is not always required. Nature provides cases where some factors are held constant and others are varied. (Examples: astronomy, evolutionary biology) Heavy reliance on idealizations and abstractions. Best response: controllability (Sklar). An idealization or assumption is controllable if its literal falsehood can be shown not to matter: i) Because the difference from true value is negligible (sin θ = θ in pendulum case); or ii) Because the causal factor combines linearly with other factors to produce the behaviour (gravity and EM force). iii) Because we have independent theoretical grounds for ignoring the omitted causal factors (thermodynamics / statistical mechanics). Idealizations in social sciences are (or can be) controllable.

11 11 Example: law of supply and demand Picks out causal factors (supply, demand, price mechanism) Evidence from - passive observation that takes other possible causal factors into account - theoretical models [Note: this part is sketchy the objective is just to convince us that it s possible. But are the idealizations so obviously controllable?]

12 Objections 1. Hedged laws. The laws have exceptions that can t be identified in advance. Main Response: We need not think of laws in social sciences as ceteris paribus. Analogy: law of gravity does not claim to identify an exceptionless regularity, but identifies gravitational force. We need not think of this as a ceteris paribus law. Similarly: law of supply and demand identifies real causal factors, in isolation from other possible causal factors. Question: In the case of gravity, the force combines additively with any others that might be present. Is it harder to think of the causal factors in economics as really there when they would interact non-additively with other forces? [Acid/base and aspirin/alcohol examples] 2. Human freedom. Humans make free choices, so they are not subject to laws. In more detail: causal laws should allow for prediction; but human freedom makes prediction impossible. Objections: 1. Compatibilist free will is compatible with prediction. 2. Not all of social science is about behaviour of individuals some constraints are fixed.

13 13 Some final questions: 1. What of Roberts objection about knowing in advance what counts as interference? Is that a sine qua non for a law? 2. Does he push the analogy between supply and demand and gravity too far? If Cartwright is wrong: the law of gravitation does truly describe a real force (a component of the total force). Can we understand supply and demand as real forces that are components of some net force? Example: Relatively stable price of a personal computer. Innovation shifts supply curve upwards Increased demand shifts demand curve upwards Result: new price is same as old. Can we think of these as real forces that have produced no change in price?

Cartwright: Do the Laws of Physics State the Facts?

Cartwright: Do the Laws of Physics State the Facts? Cartwright: Do the Laws of Physics State the Facts? Introduction Facticity view of laws: Laws of nature describe the facts Paradigm: fundamental laws of physics (e.g., Maxwell s equations) Dilemma: If

More information

Scientific Explanation- Causation and Unification

Scientific Explanation- Causation and Unification Scientific Explanation- Causation and Unification By Wesley Salmon Analysis by Margarita Georgieva, PSTS student, number 0102458 Van Lochemstraat 9-17 7511 EG Enschede Final Paper for Philosophy of Science

More information

65,536 Definitions of Physicalism. David J. Chalmers

65,536 Definitions of Physicalism. David J. Chalmers 65,536 Definitions of Physicalism David J. Chalmers An Intuitive Definition n Physicalism: n All being is ontologically determined by physical being. Definition Template n Physicalism: n All As of type

More information

HSSP Philosophy of Quantum Mechanics 08/07/11 Lecture Notes

HSSP Philosophy of Quantum Mechanics 08/07/11 Lecture Notes HSSP Philosophy of Quantum Mechanics 08/07/11 Lecture Notes Outline: 1. Homework 4 (discuss reading assignment) 2. The Measurement Problem 3. GRW theory Handouts: None Homework: Yes Vocabulary/Equations:

More information

A Crucial Mistake in the Free Will Debate

A Crucial Mistake in the Free Will Debate A Crucial Mistake in the Free Will Debate Richard Johns Department of Philosophy University of British Columbia johns@interchange.ubc.ca January 19, 2005 There are usually considered to be three main views

More information

Deep Metaphysical Indeterminacy

Deep Metaphysical Indeterminacy Deep Metaphysical Indeterminacy Bradford Skow Abstract A recent theory of metaphysical indeterminacy says that metaphysical indeterminacy is multiple actuality. That is, we have a case of metaphysical

More information

Why Care About Counterfactual Support? The Cognitive Uses of Causal Order Lecture 2

Why Care About Counterfactual Support? The Cognitive Uses of Causal Order Lecture 2 Why Care About Counterfactual Support? The Cognitive Uses of Causal Order Lecture 2 You Do Care About Counterfactual Support Two Regularities All uranium spheres are less than a mile in diameter All gold

More information

Hempel s Models of Scientific Explanation

Hempel s Models of Scientific Explanation Background Hempel s Models of Scientific Explanation 1. Two quick distinctions. 2. Laws. a) Explanations of particular events vs. explanation of general laws. b) Deductive vs. statistical explanations.

More information

So, what are special sciences? ones that are particularly dear to the author? ( Oh dear. I am touched. Psychology is just, so, well, special!

So, what are special sciences? ones that are particularly dear to the author? ( Oh dear. I am touched. Psychology is just, so, well, special! Jerry Fodor and his Special Sciences So, what are special sciences? ones that are particularly dear to the author? ( Oh dear. I am touched. Psychology is just, so, well, special! ) The use of special in

More information

Euler s Galilean Philosophy of Science

Euler s Galilean Philosophy of Science Euler s Galilean Philosophy of Science Brian Hepburn Wichita State University Nov 5, 2017 Presentation time: 20 mins Abstract Here is a phrase never uttered before: Euler s philosophy of science. Known

More information

Baker. 1. Classical physics. 2. Determinism

Baker. 1. Classical physics. 2. Determinism Baker Ted Sider Structuralism seminar 1. Classical physics Dynamics Any body will accelerate in the direction of the net force on it, with a magnitude that is the ratio of the force s magnitude and the

More information

CAUSATION CAUSATION. Chapter 10. Non-Humean Reductionism

CAUSATION CAUSATION. Chapter 10. Non-Humean Reductionism CAUSATION CAUSATION Chapter 10 Non-Humean Reductionism Humean states of affairs were characterized recursively in chapter 2, the basic idea being that distinct Humean states of affairs cannot stand in

More information

The Role of Chance in Explanation

The Role of Chance in Explanation The Role of Chance in Explanation Bradford Skow Abstract Those ice cubes melted because by melting total entropy increased and entropy increase has a very high objective chance. What role does the chance

More information

Chapter 5 Gravitation Chapter 6 Work and Energy

Chapter 5 Gravitation Chapter 6 Work and Energy Chapter 5 Gravitation Chapter 6 Work and Energy Chapter 5 (5.6) Newton s Law of Universal Gravitation (5.7) Gravity Near the Earth s Surface Chapter 6 (today) Work Done by a Constant Force Kinetic Energy,

More information

Necessarily, salt dissolves in water

Necessarily, salt dissolves in water ANALYSIS 61.4 OCTOBER 2001 Necessarily, salt dissolves in water Alexander Bird 1. Introduction In this paper I aim to show that a certain law of nature, namely that common salt (sodium chloride) dissolves

More information

Précis of Modality and Explanatory Reasoning

Précis of Modality and Explanatory Reasoning Précis of Modality and Explanatory Reasoning The aim of Modality and Explanatory Reasoning (MER) is to shed light on metaphysical necessity and the broader class of modal properties to which it belongs.

More information

Sklar s Maneuver. Bradford Skow ABSTRACT

Sklar s Maneuver. Bradford Skow ABSTRACT Brit. J. Phil. Sci. 58 (2007), 777 786 Sklar s Maneuver Bradford Skow ABSTRACT Sklar ([1974]) claimed that relationalism about ontology the doctrine that space and time do not exist is compatible with

More information

Initial Conditions, Laws and Explanation

Initial Conditions, Laws and Explanation University of Rochester bradley.weslake@rochester.edu http://mail.rochester.edu/~bweslake/ Laws Anarchism versus Imperialism Imperialism, More Precisely The Argument for Imperialism Laws Fundamental and

More information

Relevant Logic. Daniel Bonevac. March 20, 2013

Relevant Logic. Daniel Bonevac. March 20, 2013 March 20, 2013 The earliest attempts to devise a relevance logic that avoided the problem of explosion centered on the conditional. FDE, however, has no conditional operator, or a very weak one. If we

More information

Quantum Entanglement. Chapter Introduction. 8.2 Entangled Two-Particle States

Quantum Entanglement. Chapter Introduction. 8.2 Entangled Two-Particle States Chapter 8 Quantum Entanglement 8.1 Introduction In our final chapter on quantum mechanics we introduce the concept of entanglement. This is a feature of two-particle states (or multi-particle states) in

More information

Measurement Independence, Parameter Independence and Non-locality

Measurement Independence, Parameter Independence and Non-locality Measurement Independence, Parameter Independence and Non-locality Iñaki San Pedro Department of Logic and Philosophy of Science University of the Basque Country, UPV/EHU inaki.sanpedro@ehu.es Abstract

More information

DEEP METAPHYSICAL INDETERMINACY

DEEP METAPHYSICAL INDETERMINACY The Philosophical Quarterly June 2010 doi: 10.1111/j.1467-9213.2010.672.x The Scots Philosophical Association and the University of St Andrews DEEP METAPHYSICAL INDETERMINACY BY BRADFORD SKOW A recent

More information

A Way of Getting Rid of Things:

A Way of Getting Rid of Things: A Way of Getting Rid of Things: Higher-order Langauges, Priorian Nominalism, and Nihilism: Cian Dorr Rutgers Workshop on Structural Realism and the Metaphysics of Science 1. Higher-order quantification

More information

Carl Hempel Laws and Their Role in Scientific Explanation Two basic requirements for scientific explanations

Carl Hempel Laws and Their Role in Scientific Explanation Two basic requirements for scientific explanations Carl Hempel Laws and Their Role in Scientific Explanation 1 5.1 Two basic requirements for scientific explanations The aim of the natural sciences is explanation insight rather than fact gathering. Man

More information

Hardy s Paradox. Chapter Introduction

Hardy s Paradox. Chapter Introduction Chapter 25 Hardy s Paradox 25.1 Introduction Hardy s paradox resembles the Bohm version of the Einstein-Podolsky-Rosen paradox, discussed in Chs. 23 and 24, in that it involves two correlated particles,

More information

It From Bit Or Bit From Us?

It From Bit Or Bit From Us? It From Bit Or Bit From Us? Majid Karimi Research Group on Foundations of Quantum Theory and Information Department of Chemistry, Sharif University of Technology On its 125 th anniversary, July 1 st, 2005

More information

Tooley on backward causation

Tooley on backward causation Tooley on backward causation Paul Noordhof Michael Tooley has argued that, if backward causation (of a certain kind) is possible, then a Stalnaker-Lewis account of the truth conditions of counterfactuals

More information

In Newcomb s problem, an agent is faced with a choice between acts that

In Newcomb s problem, an agent is faced with a choice between acts that Aporia vol. 23 no. 2 2013 Counterfactuals and Causal Decision Theory Kevin Dorst In Newcomb s problem, an agent is faced with a choice between acts that are highly correlated with certain outcomes, but

More information

Explanation and Unification

Explanation and Unification Explanation and Unification Michael Friedman, Explanation and Scientific Understanding Philip Kitcher, Explanatory Unification Erica Klempner 3/16/04 Friedman and Kitcher: same basic motivation, to cash

More information

A New Conception of Science

A New Conception of Science A New Conception of Science Nicholas Maxwell Published in PhysicsWorld 13 No. 8, August 2000, pp. 17-18. When scientists choose one theory over another, they reject out of hand all those that are not simple,

More information

Indicative conditionals

Indicative conditionals Indicative conditionals PHIL 43916 November 14, 2012 1. Three types of conditionals... 1 2. Material conditionals... 1 3. Indicatives and possible worlds... 4 4. Conditionals and adverbs of quantification...

More information

Capturing Lewis s Elusive Knowledge

Capturing Lewis s Elusive Knowledge Zhaoqing Xu Department of Philosophy, Peking University zhaoqingxu@gmail.com September 22, 2011 1 Introduction 2 Philosophical Background Dretske s Relevant Alternatives Theory Lewis s Elusive Knowledge

More information

Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis

Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis /9/27 Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis The Philosophy of science: the scientific Method - from a Popperian perspective Philosophy

More information

Multiple Testing. Gary W. Oehlert. January 28, School of Statistics University of Minnesota

Multiple Testing. Gary W. Oehlert. January 28, School of Statistics University of Minnesota Multiple Testing Gary W. Oehlert School of Statistics University of Minnesota January 28, 2016 Background Suppose that you had a 20-sided die. Nineteen of the sides are labeled 0 and one of the sides is

More information

Economics 205, Fall 2002: Final Examination, Possible Answers

Economics 205, Fall 2002: Final Examination, Possible Answers Economics 05, Fall 00: Final Examination, Possible Answers Comments on the Exam Grades: 43 possible; high: 413; median: 34; low: 36 I was generally happy with the answers to questions 3-8, satisfied with

More information

CHAPTER 1: Functions

CHAPTER 1: Functions CHAPTER 1: Functions 1.1: Functions 1.2: Graphs of Functions 1.3: Basic Graphs and Symmetry 1.4: Transformations 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus 1.6: Combining Functions

More information

HPS 1653 / PHIL 1610 Introduction to the Philosophy of Science

HPS 1653 / PHIL 1610 Introduction to the Philosophy of Science HPS 1653 / PHIL 1610 Introduction to the Philosophy of Science Laws of Nature Adam Caulton adam.caulton@gmail.com Wednesday 19 November 2014 Recommended reading Chalmers (2013), What is this thing called

More information

Supplementary Logic Notes CSE 321 Winter 2009

Supplementary Logic Notes CSE 321 Winter 2009 1 Propositional Logic Supplementary Logic Notes CSE 321 Winter 2009 1.1 More efficient truth table methods The method of using truth tables to prove facts about propositional formulas can be a very tedious

More information

Must... stay... strong!

Must... stay... strong! Alex Goebel 620 Spring 2016 Paper Presentation of von Fintel & Gillies (2010) Synopsis Must... stay... strong! Von Fintel & Gillies (vf&g) argue against a weakened semantics of must and propose an alternative

More information

Popper s Measure of Corroboration and P h b

Popper s Measure of Corroboration and P h b Popper s Measure of Corroboration and P h b Darrell P. Rowbottom This paper shows that Popper s measure of corroboration is inapplicable if, as Popper also argued, the logical probability of synthetic

More information

(January 6, 2006) Paul Garrett garrett/

(January 6, 2006) Paul Garrett  garrett/ (January 6, 2006)! "$# % & '!)( *+,.-0/%&1,3234)5 * (6# Paul Garrett garrett@math.umn.edu http://www.math.umn.edu/ garrett/ To communicate clearly in mathematical writing, it is helpful to clearly express

More information

Physics 12 Unit 2: Vector Dynamics

Physics 12 Unit 2: Vector Dynamics 1 Physics 12 Unit 2: Vector Dynamics In this unit you will extend your study of forces. In particular, we will examine force as a vector quantity; this will involve solving problems where forces must be

More information

Tools for causal analysis and philosophical theories of causation. Isabelle Drouet (IHPST)

Tools for causal analysis and philosophical theories of causation. Isabelle Drouet (IHPST) Tools for causal analysis and philosophical theories of causation Isabelle Drouet (IHPST) 1 What is philosophy of causation? 1. What is causation? What characterizes these relations that we label "causal"?

More information

Ibn Sina s explanation of reductio ad absurdum. Wilfrid Hodges Herons Brook, Sticklepath, Okehampton November 2011

Ibn Sina s explanation of reductio ad absurdum. Wilfrid Hodges Herons Brook, Sticklepath, Okehampton November 2011 1 Ibn Sina s explanation of reductio ad absurdum. Wilfrid Hodges Herons Brook, Sticklepath, Okehampton November 2011 http://wilfridhodges.co.uk 2 WESTERN LOGIC THE BIG NAMES Latin line through Boethius

More information

Unit 1: Equilibrium and Center of Mass

Unit 1: Equilibrium and Center of Mass Unit 1: Equilibrium and Center of Mass FORCES What is a force? Forces are a result of the interaction between two objects. They push things, pull things, keep things together, pull things apart. It s really

More information

Isaac Newton was a British scientist whose accomplishments

Isaac Newton was a British scientist whose accomplishments E8 Newton s Laws of Motion R EA D I N G Isaac Newton was a British scientist whose accomplishments included important discoveries about light, motion, and gravity. You may have heard the legend about how

More information

I. Induction, Probability and Confirmation: Introduction

I. Induction, Probability and Confirmation: Introduction I. Induction, Probability and Confirmation: Introduction 1. Basic Definitions and Distinctions Singular statements vs. universal statements Observational terms vs. theoretical terms Observational statement

More information

Uni- and Bivariate Power

Uni- and Bivariate Power Uni- and Bivariate Power Copyright 2002, 2014, J. Toby Mordkoff Note that the relationship between risk and power is unidirectional. Power depends on risk, but risk is completely independent of power.

More information

What is proof? Lesson 1

What is proof? Lesson 1 What is proof? Lesson The topic for this Math Explorer Club is mathematical proof. In this post we will go over what was covered in the first session. The word proof is a normal English word that you might

More information

Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis

Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis /3/26 Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis The Philosophy of science: the scientific Method - from a Popperian perspective Philosophy

More information

Chapter 4. The Laws of Motion

Chapter 4. The Laws of Motion Chapter 4 The Laws of Motion Classical Mechanics Describes the relationship between the motion of objects in our everyday world and the forces acting on them Conditions when Classical Mechanics does not

More information

Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis

Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis The Philosophy of science: the scientific Method - from a Popperian perspective Philosophy

More information

EC 331: Research in Applied Economics

EC 331: Research in Applied Economics EC 331: Research in Applied Economics Terms 1 & 2: Thursday, 1-2pm, S2.133 Vera E. Troeger Office: S0.75 Email: v.e.troeger@warwick.ac.uk Office hours: Friday 9.30 11.30 am Research Design The Purpose

More information

Astronomy 301G: Revolutionary Ideas in Science. Getting Started. What is Science? Richard Feynman ( CE) The Uncertainty of Science

Astronomy 301G: Revolutionary Ideas in Science. Getting Started. What is Science? Richard Feynman ( CE) The Uncertainty of Science Astronomy 301G: Revolutionary Ideas in Science Getting Started What is Science? Reading Assignment: What s the Matter? Readings in Physics Foreword & Introduction Richard Feynman (1918-1988 CE) The Uncertainty

More information

Logic. Quantifiers. (real numbers understood). x [x is rotten in Denmark]. x<x+x 2 +1

Logic. Quantifiers. (real numbers understood). x [x is rotten in Denmark]. x<x+x 2 +1 Logic One reason for studying logic is that we need a better notation than ordinary English for expressing relationships among various assertions or hypothetical states of affairs. A solid grounding in

More information

The central problem: what are the objects of geometry? Answer 1: Perceptible objects with shape. Answer 2: Abstractions, mere shapes.

The central problem: what are the objects of geometry? Answer 1: Perceptible objects with shape. Answer 2: Abstractions, mere shapes. The central problem: what are the objects of geometry? Answer 1: Perceptible objects with shape. Answer 2: Abstractions, mere shapes. The central problem: what are the objects of geometry? Answer 1: Perceptible

More information

PHIL12A Section answers, 28 Feb 2011

PHIL12A Section answers, 28 Feb 2011 PHIL12A Section answers, 28 Feb 2011 Julian Jonker 1 How much do you know? Give formal proofs for the following arguments. 1. (Ex 6.18) 1 A B 2 A B 1 A B 2 A 3 A B Elim: 2 4 B 5 B 6 Intro: 4,5 7 B Intro:

More information

This is a brief overview of some of the very basic and classic laws of physics and how magnetic energy theory fits into those laws.

This is a brief overview of some of the very basic and classic laws of physics and how magnetic energy theory fits into those laws. This is a brief overview of some of the very basic and classic laws of physics and how magnetic energy theory fits into those laws. There are changes coming to our planet and solar system and after these

More information

Conceivability and Modal Knowledge

Conceivability and Modal Knowledge 1 3 Conceivability and Modal Knowledge Christopher Hill ( 2006 ) provides an account of modal knowledge that is set in a broader context of arguing against the view that conceivability provides epistemic

More information

Seminar how does one know if their approach/perspective is appropriate (in terms of being a student, not a professional)

Seminar how does one know if their approach/perspective is appropriate (in terms of being a student, not a professional) Seminar 5 10.00-11.00 Lieberson and Horwich (2008) argue that it is necessary to address and evaluate alternative causal explanations as a way of reaching consensus about the superiority of one or another

More information

Lange's Counterfactualism

Lange's Counterfactualism Lange's Counterfactualism Reference Lange, Marc (2009). Laws and Lawmakers: science, metaphysics and the laws of nature. Oxford: Oxford University Press. Rodrigo Cid Universidade Federal do Rio de Janeiro

More information

240 Metaphysics. Frege s Puzzle. Chapter 26

240 Metaphysics. Frege s Puzzle. Chapter 26 240 Metaphysics Frege s Puzzle Frege s Puzzle 241 Frege s Puzzle In his 1879 Begriffsschrift (or Concept-Writing ), Gottlob Frege developed a propositional calculus to determine the truth values of propositions

More information

PHIL12A Section answers, 16 February 2011

PHIL12A Section answers, 16 February 2011 PHIL12A Section answers, 16 February 2011 Julian Jonker 1 How much do you know? 1. Show that the following sentences are equivalent. (a) (Ex 4.16) A B A and A B A B (A B) A A B T T T T T T T T T T T F

More information

Journeys of an Accidental Statistician

Journeys of an Accidental Statistician Journeys of an Accidental Statistician A partially anecdotal account of A Unified Approach to the Classical Statistical Analysis of Small Signals, GJF and Robert D. Cousins, Phys. Rev. D 57, 3873 (1998)

More information

Causal Structuralism, Dispositional Actualism, and Counterfactual Conditionals

Causal Structuralism, Dispositional Actualism, and Counterfactual Conditionals Causal Structuralism, Dispositional Actualism, and Counterfactual Conditionals Antony Eagle Forthcoming in Toby Handfield (ed) Dispositions and Causes, OUP, 2009, pp. 65 99. Abstract Dispositional essentialists

More information

Lewis Counterfactual Theory of Causation

Lewis Counterfactual Theory of Causation Lewis Counterfactual Theory of Causation Summary An account only of deterministic, token causation. Causation = counterfactual dependence + right semantics for counterfactuals + transitivity E depends

More information

Delayed Choice Paradox

Delayed Choice Paradox Chapter 20 Delayed Choice Paradox 20.1 Statement of the Paradox Consider the Mach-Zehnder interferometer shown in Fig. 20.1. The second beam splitter can either be at its regular position B in where the

More information

Lecture Notes on Inductive Definitions

Lecture Notes on Inductive Definitions Lecture Notes on Inductive Definitions 15-312: Foundations of Programming Languages Frank Pfenning Lecture 2 September 2, 2004 These supplementary notes review the notion of an inductive definition and

More information

CHAPTER 0. Introduction

CHAPTER 0. Introduction M361 E. Odell CHAPTER 0 Introduction Mathematics has an advantage over other subjects. Theorems are absolute. They are not subject to further discussion as to their correctness. No sane person can write

More information

Lecture 12: Arguments for the absolutist and relationist views of space

Lecture 12: Arguments for the absolutist and relationist views of space 12.1 432018 PHILOSOPHY OF PHYSICS (Spring 2002) Lecture 12: Arguments for the absolutist and relationist views of space Preliminary reading: Sklar, pp. 19-25. Now that we have seen Newton s and Leibniz

More information

Incompatibility Paradoxes

Incompatibility Paradoxes Chapter 22 Incompatibility Paradoxes 22.1 Simultaneous Values There is never any difficulty in supposing that a classical mechanical system possesses, at a particular instant of time, precise values of

More information

Introductory Econometrics. Review of statistics (Part II: Inference)

Introductory Econometrics. Review of statistics (Part II: Inference) Introductory Econometrics Review of statistics (Part II: Inference) Jun Ma School of Economics Renmin University of China October 1, 2018 1/16 Null and alternative hypotheses Usually, we have two competing

More information

Advanced Statistical Methods for Observational Studies L E C T U R E 0 1

Advanced Statistical Methods for Observational Studies L E C T U R E 0 1 Advanced Statistical Methods for Observational Studies L E C T U R E 0 1 introduction this class Website Expectations Questions observational studies The world of observational studies is kind of hard

More information

3. Nomic vs causal vs dispositional essentialism. 1. If quidditism is true, then properties could have swapped their nomic roles.

3. Nomic vs causal vs dispositional essentialism. 1. If quidditism is true, then properties could have swapped their nomic roles. Nomic Essentialism Ted Sider Structuralism seminar 1. Natural necessity Law of nature Causation Counterfactual Disposition Chance Rough unifying idea: these are modal, in that they involve tendencies and

More information

Universalism Entails Extensionalism

Universalism Entails Extensionalism Universalism Entails Extensionalism Achille C. Varzi Department of Philosophy, Columbia University, New York [Final version published in Analysis, 69 (2009), 599 604] 1. Universalism (also known as Conjunctivism,

More information

Published in Analysis, 2004, 64 (1), pp

Published in Analysis, 2004, 64 (1), pp Published in Analysis, 2004, 64 (1), pp. 72-81. The Bundle Theory is compatible with distinct but indiscernible particulars GONZALO RODRIGUEZ-PEREYRA 1. The Bundle Theory I shall discuss is a theory about

More information

Physical Matter and Entropy Were Made

Physical Matter and Entropy Were Made T H E U LT I M AT E L A W O F T H E R M O DY N A M I C S Physical Matter and Entropy Were Made Read this carefully, because it s the KEY to everything else in Science. The first law of thermodynamics is

More information

WHAT IS BIG HISTORY? Video Talk / David Christian

WHAT IS BIG HISTORY? Video Talk / David Christian WHAT IS BIG HISTORY? Video Talk / David Christian Big History tells the story of the Universe from the Big Bang to the present, a time span of 13.8 billion years. Big History is the modern, scientific

More information

Math 300 Introduction to Mathematical Reasoning Autumn 2017 Proof Templates 1

Math 300 Introduction to Mathematical Reasoning Autumn 2017 Proof Templates 1 Math 300 Introduction to Mathematical Reasoning Autumn 2017 Proof Templates 1 In its most basic form, a mathematical proof is just a sequence of mathematical statements, connected to each other by strict

More information

Chapter 2. Mathematical Reasoning. 2.1 Mathematical Models

Chapter 2. Mathematical Reasoning. 2.1 Mathematical Models Contents Mathematical Reasoning 3.1 Mathematical Models........................... 3. Mathematical Proof............................ 4..1 Structure of Proofs........................ 4.. Direct Method..........................

More information

Review of Statistics 101

Review of Statistics 101 Review of Statistics 101 We review some important themes from the course 1. Introduction Statistics- Set of methods for collecting/analyzing data (the art and science of learning from data). Provides methods

More information

Natural deduction for truth-functional logic

Natural deduction for truth-functional logic Natural deduction for truth-functional logic Phil 160 - Boston University Why natural deduction? After all, we just found this nice method of truth-tables, which can be used to determine the validity or

More information

In defence of classical physics

In defence of classical physics In defence of classical physics Abstract Classical physics seeks to find the laws of nature. I am of the opinion that classical Newtonian physics is real physics. This is in the sense that it relates to

More information

Econometric Causality

Econometric Causality Econometric (2008) International Statistical Review, 76(1):1-27 James J. Heckman Spencer/INET Conference University of Chicago Econometric The econometric approach to causality develops explicit models

More information

Notes 11: OLS Theorems ECO 231W - Undergraduate Econometrics

Notes 11: OLS Theorems ECO 231W - Undergraduate Econometrics Notes 11: OLS Theorems ECO 231W - Undergraduate Econometrics Prof. Carolina Caetano For a while we talked about the regression method. Then we talked about the linear model. There were many details, but

More information

Languages, regular languages, finite automata

Languages, regular languages, finite automata Notes on Computer Theory Last updated: January, 2018 Languages, regular languages, finite automata Content largely taken from Richards [1] and Sipser [2] 1 Languages An alphabet is a finite set of characters,

More information

Bell s spaceship paradox

Bell s spaceship paradox Bell s spaceship paradox If the two ships start accelerating at the same time, I always see them travelling at the same velocity, and keeping a constant distance... But I said the objects get shorter when

More information

Replay argument. Abstract. Tanasije Gjorgoski Posted on on 03 April 2006

Replay argument. Abstract. Tanasije Gjorgoski Posted on  on 03 April 2006 Replay argument Tanasije Gjorgoski Posted on http://broodsphilosophy.wordpress.com/, on 03 April 2006 Abstract Before a year or so ago, I was trying to think of an example so I can properly communicate

More information

Objective probability-like things with and without objective indeterminism

Objective probability-like things with and without objective indeterminism Journal reference: Studies in History and Philosophy of Modern Physics 38 (2007) 626 Objective probability-like things with and without objective indeterminism László E. Szabó Theoretical Physics Research

More information

Quick Questions. 1. Two charges of +1 µc each are separated by 1 cm. What is the force between them?

Quick Questions. 1. Two charges of +1 µc each are separated by 1 cm. What is the force between them? 92 3.10 Quick Questions 3.10 Quick Questions 1. Two charges of +1 µc each are separated by 1 cm. What is the force between them? 0.89 N 90 N 173 N 15 N 2. The electric field inside an isolated conductor

More information

Work. The quantity of work done is equal to the amount of force the distance moved in the direction in which the force acts.

Work. The quantity of work done is equal to the amount of force the distance moved in the direction in which the force acts. Work The quantity of work done is equal to the amount of force the distance moved in the direction in which the force acts. Work falls into two categories: Work falls into two categories: work done against

More information

For Philosophy and Phenomenolgical Research

For Philosophy and Phenomenolgical Research For Philosophy and Phenomenolgical Research The main conclusion of Jaegwon Kim s admirable Mind and the Physical World is that the mindbody problem- Descartes problem of explaining how mental causation

More information

Consequences of special relativity.

Consequences of special relativity. PHYS419 Lecture 12 Consequences of special relativity 1 Consequences of special relativity. The length of moving objects. Recall that in special relativity, simultaneity depends on the frame of reference

More information

Direct Proof and Counterexample I:Introduction

Direct Proof and Counterexample I:Introduction Direct Proof and Counterexample I:Introduction Copyright Cengage Learning. All rights reserved. Goal Importance of proof Building up logic thinking and reasoning reading/using definition interpreting :

More information

Description Logics. Deduction in Propositional Logic. franconi. Enrico Franconi

Description Logics. Deduction in Propositional Logic.   franconi. Enrico Franconi (1/20) Description Logics Deduction in Propositional Logic Enrico Franconi franconi@cs.man.ac.uk http://www.cs.man.ac.uk/ franconi Department of Computer Science, University of Manchester (2/20) Decision

More information

Diodorus s Master Argument Nino B. Cocchiarella For Classes IC and IIC Students of Professor Giuseppe Addona

Diodorus s Master Argument Nino B. Cocchiarella For Classes IC and IIC Students of Professor Giuseppe Addona Diodorus s Master Argument Nino B. Cocchiarella For Classes IC and IIC Students of Professor Giuseppe Addona In my Remarks on Stoic Logic that I wrote for you last year, I mentioned Diodorus Cronus s trilemma,

More information

Properties of Sequences

Properties of Sequences Properties of Sequences Here is a FITB proof arguing that a sequence cannot converge to two different numbers. The basic idea is to argue that if we assume this can happen, we deduce that something contradictory

More information

Direct Proof and Counterexample I:Introduction. Copyright Cengage Learning. All rights reserved.

Direct Proof and Counterexample I:Introduction. Copyright Cengage Learning. All rights reserved. Direct Proof and Counterexample I:Introduction Copyright Cengage Learning. All rights reserved. Goal Importance of proof Building up logic thinking and reasoning reading/using definition interpreting statement:

More information

7.5 Partial Fractions and Integration

7.5 Partial Fractions and Integration 650 CHPTER 7. DVNCED INTEGRTION TECHNIQUES 7.5 Partial Fractions and Integration In this section we are interested in techniques for computing integrals of the form P(x) dx, (7.49) Q(x) where P(x) and

More information

Mathematics 114L Spring 2018 D.A. Martin. Mathematical Logic

Mathematics 114L Spring 2018 D.A. Martin. Mathematical Logic Mathematics 114L Spring 2018 D.A. Martin Mathematical Logic 1 First-Order Languages. Symbols. All first-order languages we consider will have the following symbols: (i) variables v 1, v 2, v 3,... ; (ii)

More information