Russell: A Guide for the Perplexed

✍ Scribed by John Ongley; Rosalind Carey

• Publisher: Bloomsbury Publishing
• Year: 2013
• Tongue: English
• Leaves: 225
• Series: Guides for the Perplexed
• Category: Library

✦ Table of Contents

Title Page
Copyright page
Contents
Preface
Chapter 1 Introduction
1 Logic and logicism: Basic concepts
2 The emergence of logicism
3 Logicism and analysis
4 Logical analysis: the theory of descriptions
5 Logical analysis: the “no-class” theory of classes
6 Logical analysis: the theory of logical types
7 Analysis and metaphysics
8 Analysis and the theory of knowledge
9 Analysis and the theory of meaning
Chapter 2 Naïve logicism
1 Historical background to logicism
2 Introducing Peano’s axioms
3 The definition of number
4 Peano’s axioms without definitions
5 The true meaning of “number”
6 The concepts defined and axioms derived
7 A more careful definition and derivation of the axioms
8 Ordering the natural numbers
9 Positive integers, negative integers, and fractions
10 Background to defining real numbers
11 Real and complex numbers defined
Chapter 3 Restricted logicism
1 Background to discovering the russell paradox
2 The set of all sets that are not members of themselves
3 Other paradoxes soon discovered
4 The vicious circle principle
5 Some logic for the theory of types
6 The theory of logical types
7 The ramified theory of logical types
8 Observations about ramified type theory
9 The axiom of reducibility
10 Reference to an infinite number of propositions
11 Introduction to the no-class theory
12 The theory of descriptions in Principia Mathematica
13 Russell’s no-class theory of Principia Mathematica
14 Defining sets
Chapter 4 Metaphysics
1 Platonism, dualism, pluralism
2 Types of entities
3 Concepts, classes, and propositions
4 Universals and particulars
5 Essence and existence
6 Data and the external world
7 The problem of types
8 Forms of facts
9 Sensations and images
10 Structure and realism
11 Substance and analysis
12 Events and percepts
13 Language and fact
14 Prelude to metaphysics
15 Egocentric words
16 Bundles of qualities
17 Transcending experience
18 What there is
Chapter 5 Theory of knowledge
1 Logical knowledge
2 Acquaintance
3 Introspection and conception
4 Belief or judgment
5 Data and premises
6 Knowledge of science
7 Consciousness revisited
8 Behaviorism and belief
9 Introspection and memory
10 Inference to an external world
11 Structural knowledge
12 Perception
13 Experience
14 Words
15 Premises
16 Single observations
17 Induction
18 Postulates
Chapter 6 Language and meaning
1 Language and meaning
2 Reading russell
3 Understanding meaning
4 Images, symbols, and vagueness
5 Logic and meaning
6 Structure and meaning
7 A theory of language and meaning
8 Words and meaning
9 Propositions and meaning
10 Logic, belief, and philosophical analysis
11 Vagueness and perception
12 Physics and language
13 A primary language
14 Impersonal reports
15 A secondary language
16 Significance
17 Expressing, indicating, and verifying
Chapter 7 The infinite
1 Cardinal numbers, finite, and infinite
2 Infinite series and infinite ordinal numbers
3 An infinity of things and the axiom of infinity
4 The multiplicative axiom, a.k.a. the axiom of choice
5 Logicism: logic or mathematics?
Notes
Chapter 2
Chapter 3
Chapter 7
Further reading
References
Collected papers of Bertrand russell
Other references
index