The Rise of Analytic Philosophy 1879 1930 From Frege to Ramsey 1st Edition by Michael Potter ISBN 9781138015135 113801513X

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ISBN 10: 113801513X
ISBN 13: 9781138015135
Author: Michael Potter

The Rise of Analytic Philosophy 1879 1930 From Frege to Ramsey 1st Edition Table of contents:

Part I Frege

1 Biography

2 Logic before 1879

Stoic logic

Aristotelian logic

Supposition

Kinds of entity

Relations

Transcendental logic

Empiricism and idealism

Boole

3 Begriffsschrift I: Foundations of Logic

The aim of the concept-script

The judgment stroke

The content stroke

Axioms, basic laws and rules

Tone and conceptual content

Function and argument

Greek and Latin letters

4 Begriffsschrift II: Propositional Logic

Syntax

Semantics

Rules and basic laws

5 Begriffsschrift III: Quantification

Syntax

Semantics

Rules and basic laws

6 Begriffsschrift IV: Identity

Syntax

Semantics

Basic laws

7 Begriffsschrift V: The Ancestral

Defining the ancestral

Logic as non-trivial

Impredicativity

8 Early Philosophy of Logic

Psychologism and empiricism

Judgment and truth

Defining the scope of logic

Metalogic

9 The Hierarchy

Levels

Applications

Concept and object

Objecthood and identity

10 Grundlagen I: The Context Principle

Semantic incompleteness

The Lockean model

Concept and object again

11 Grundlagen II: Arithmetical Truth

Game formalism

Leibniz

The a posteriori

Analytic or synthetic?

12 Grundlagen III: Numbers

Numbers of what?

Numbers as non-linguistic

Numbers as objects

Numbers as self-subsistent

Numbers as non-actual

Numbers as objective

Numbers as abstract

Numbers as logical

13 Grundlagen IV: The Formal Project

Numerically definite quantifiers

Hume’s Principle

Section 64

Deriving arithmetic

The Julius Caesar problem again

Other definitions

14 Sense and Reference I: Singular Terms

Rejection of the Begriffsschrift theory

The sense of a singular term

Names and descriptions

Internalist and externalist conceptions of sense

15 Sense and Reference II: Sentences

The reference of a sentence

Thoughts

Referring to thoughts

16 Sense and Reference III: Concept-Words

Unsaturated senses

Concepts

The concept horse

17 Grundgesetze I: Types

Syntax

Semantics

Wittgenstein’s objection again

Truth and taking as true

18 Grundgesetze II: Extensions

Extensions and value-ranges

Semantics

The contradiction

Logical objects again

19 The Frege–Hilbert Correspondence

The Foundations of Geometry

Deductivism

Uniqueness

Existence and consistency

Frege’s 1906 definition

20 Late Writings

The structure of the realm of reference

Thought and language

Sameness of sense

Indexicals

Idealism

21 Frege’s Legacy

Logic

Language

Mathematics

Part II Russell

22 Biography

23 Bradley

Absolute idealism

Russell’s conversion

24 Geometry

Metric geometry

First deduction of metric geometry

Second deduction of metric geometry

Dimension

Geometry and physics

Deduction of descriptive geometry

Public and private space

25 McTaggart

The Tiergarten programme

The paradoxes of relativity

26 German Mathematics

The continuum

The infinitely large

Mathematical education

27 Whitehead

Universal Algebra

A single paradox of relativity

A wrong turning?

28 Moore

The existential theory of judgment

Thing and concept

The refutation of idealism

Against Kant?

Moore’s influence

29 Leibniz

Analyticity and necessity

External relations

The paradox of relativity resolved

Matter and position again

30 Peano

Classes

Relations

The 1900 draft of the Principles

Logic and abstraction

31 Early Logicism

Russellian logicism

Characterizing logic

Knowledge of logic

32 Denoting Concepts

The variable

Indefinite denoting concepts

Definite denoting concepts

Epistemology

33 The Contradiction

The paradoxes

Types

Reducibility

34 On Denoting

The Gray’s Elegy argument

Against Frege?

The new theory of denoting phrases

Scope

Non-entities

Significance

The substitutional theory

35 Truth

The coherence theory

The pragmatist theory

The primitivist theory

The correspondence theory

36 Types

The hierarchy of propositional functions

The axiom of reducibility

Identity

37 Middle Logicism

Continuities

The vicious circle principle

The universality of logic

Classes as fictions

The regressive method

Logical truth

38 Acquaintance

Particulars

Complexes

Universals

The variable

The self

39 Matter

On the notion of cause

Inference and construction

The constructional base

Public and private space

40 Pre-war Judgment

The 1906 theory and the Frege point

The 1909 theory and the ontology of the Introduction

The 1911 theory and the direction problem

The 1913 theory and the verb

The existential proposal

Permutative complexes

Judging a nonsense

41 Facts

Complex and fact

Negative facts

General facts

Names and particulars

Forms and universals

42 Late Logicism

The subject matter of logic

The new theory of types

Propositions are not names

Bipolarity and truth

Logic and necessity

43 Post-war Judgment

Language and vagueness

Rejecting the subject

Meaning

The feeling of belief

44 Neutral Monism

Adopting neutral monism

A second wave?

The inference from percepts to events

Emergence

45 Russell’s Legacy

The demise of absolute idealism

The external world programme

Logicism

Naturalism

Cambridge analysis

Ordinary language philosophy

Later reception

Part III Wittgenstein

46 Biography

47 Facts

Facts

Atomic facts

Molecular facts

48 Pictures

Meaning

Truth

Relative inexpressibility

Possibility

49 Propositions

Logical form

Sign and symbol

Absolute unsayability

Wittgenstein’s context principle

50 Sense

Truth-possibilities

Tautology and contradiction

Independence

The general form of proposition

51 Wittgenstein’s Concept-Script

The N-operation

Propositional variables

Direct enumeration

Propositional functions

Formal series

Wittgenstein’s vicious circle principle

52 Objects

Simplicity and elementary propositions

The argument for substance

Components

Forms of object

Thought and world

53 Identity

Wittgenstein’s argument

Doing without identity

Identity and classes

54 Solipsism

The argument for solipsism

The thinking subject

55 Ordinary Language

Vagueness

Austerity

Philosophy

56 Minds

Judgment

The empirical subject

Logic and psychology

Theory of knowledge

57 Logic

The propositions of logic

Logic as transcendental

58 The Metaphysical Subject

The eye and the visual field

The a priori order

Talking of the I

59 Arithmetic

Numbers

Dependence on infinity

60 Science

The mesh

Principles

The independence of the will

61 Ethics

Moral nonsense

The willing subject

The lecture on ethics

Religion

62 The Mystical

The riddle

Quietism

The dialectical reading

The resolute reading

The frame

The preface

63 The Legacy of the Tractatus

The independence of elementary propositions

The shape of space

Atomism

The picture theory

Philosophy

Part IV Ramsey

64 Biography

65 Truth

Propositions

Truth

Expressing and describing

Reverse semantics

66 Knowledge

Reliabilism

Induction

Human logic

67 The Foundations of Mathematics I: Types

Ramsey’s simple hierarchy

Saying the unsayable

A transcendental argument

68 The Foundations of Mathematics II: Logicism

Propositional functions in extension

Wittgenstein’s objections

The demise of the transcendental argument

69 Universals

Incompleteness

Narrow and wide ranges

Complex universals

Unigrade and multigrade terms

70 Degrees of Belief

Logical probabilities

Betting

Synchronic Dutch books

Diachronic Dutch books

Degrees of belief and frequencies

Partial belief and desire

71 Facts and Propositions

Chicken beliefs

Partial belief and chickens

72 Last Papers

Laws

The Ramsey test

Causation

Theories

73 Ramsey’s Legacy

Truth and meaning

Logicism

Universals

Bibliography

Index

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Tags: Michael Potter, Rise, Analytic Philosophy, Frege, Ramsey