Combining Texts

All the ideas for 'Wiener Logik', 'Science and Hypothesis' and 'Commentary on Euclid's 'Elements''

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6 ideas

2. Reason / D. Definition / 2. Aims of Definition

18261

A simplification which is complete constitutes a definition [Kant]

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

22275

Logic gives us the necessary rules which show us how we ought to think [Kant]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10180

Mathematicians do not study objects, but relations between objects [Poincaré]

13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / b. Pro-externalism

18260

If we knew what we know, we would be astonished [Kant]

14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations

13165

Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]

18. Thought / E. Abstraction / 1. Abstract Thought

9569	The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]