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All the ideas for '04: Gospel of St John', 'Logicism Revisited' and 'Phil Applications of Cognitive Science'

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16 ideas

2. Reason / A. Nature of Reason / 2. Logos
In the beginning was the Word, and the Word was with God, and the word was God [John]
3. Truth / A. Truth Problems / 2. Defining Truth
Jesus said he bore witness to the truth. Pilate asked, What is truth? [John]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Children may have three innate principles which enable them to learn to count [Goldman]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Rat behaviour reveals a considerable ability to count [Goldman]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
7. Existence / E. Categories / 2. Categorisation
Infant brains appear to have inbuilt ontological categories [Goldman]
12. Knowledge Sources / B. Perception / 3. Representation
Elephants can be correctly identified from as few as three primitive shapes [Goldman]
12. Knowledge Sources / B. Perception / 5. Interpretation
The way in which colour experiences are evoked is physically odd and unpredictable [Goldman]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Gestalt psychology proposes inbuilt proximity, similarity, smoothness and closure principles [Goldman]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]