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All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'What is an Idea?' and 'My Philosophical Development'

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34 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Only by analysing is progress possible in philosophy [Russell]
Analysis gives new knowledge, without destroying what we already have [Russell]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
The theory of types makes 'Socrates and killing are two' illegitimate [Russell]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth definitions don't produce a good theory, because they go beyond your current language [Halbach]
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth belongs to beliefs, not to propositions and sentences [Russell]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach]
Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach]
If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach]
Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationists say truth merely serves to express infinite conjunctions [Halbach]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
To prove the consistency of set theory, we must go beyond set theory [Halbach]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
I gradually replaced classes with properties, and they ended as a symbolic convenience [Russell]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Leibniz bases everything on subject/predicate and substance/property propositions [Russell]
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Names are meaningless unless there is an object which they designate [Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
We tried to define all of pure maths using logical premisses and concepts [Russell]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalists say maths is merely conventional marks on paper, like the arbitrary rules of chess [Russell]
Formalism can't apply numbers to reality, so it is an evasion [Russell]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionism says propositions are only true or false if there is a method of showing it [Russell]
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
In 1899-1900 I adopted the philosophy of logical atomism [Russell]
Complex things can be known, but not simple things [Russell]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Facts are everything, except simples; they are either relations or qualities [Russell]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Universals can't just be words, because words themselves are universals [Russell]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
In epistemology we should emphasis the continuity between animal and human minds [Russell]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Pragmatism judges by effects, but I judge truth by causes [Russell]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Empiricists seem unclear what they mean by 'experience' [Russell]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
True belief about the time is not knowledge if I luckily observe a stopped clock at the right moment [Russell]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Behaviourists struggle to explain memory and imagination, because they won't admit images [Russell]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
Surprise is a criterion of error [Russell]
18. Thought / C. Content / 2. Ideas
By an 'idea' I mean not an actual thought, but the resources we can draw on to think [Leibniz]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Unverifiable propositions about the remote past are still either true or false [Russell]
19. Language / D. Propositions / 4. Mental Propositions
You can believe the meaning of a sentence without thinking of the words [Russell]