Combining Texts

All the ideas for 'On the Individuation of Attributes', 'Phil Applications of Cognitive Science' and 'Axiomatic Thought'

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16 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]
Axioms must reveal their dependence (or not), and must be consistent [Hilbert]
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 / 2. Proof in Mathematics
To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Number theory just needs calculation laws and rules for integers [Hilbert]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Rat behaviour reveals a considerable ability to count [Goldman]
7. Existence / E. Categories / 2. Categorisation
Infant brains appear to have inbuilt ontological categories [Goldman]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Because things can share attributes, we cannot individuate attributes clearly [Quine]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
You only know an attribute if you know what things have it [Quine]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
No entity without identity (which requires a principle of individuation) [Quine]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identity of physical objects is just being coextensive [Quine]
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]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]