Combining Texts

All the ideas for 'Mathematical Thought from Ancient to Modern Times', 'Notes on Comments by Fardella' and 'Criterion of Validity in Reasoning'

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7 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason

14779

I reason in order to avoid disappointment and surprise [Peirce]

3. Truth / H. Deflationary Truth / 1. Redundant Truth

14777

That a judgement is true and that we judge it true are quite different things [Peirce]

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

14780

Only study logic if you think your own reasoning is deficient [Peirce]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17606

Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]

7. Existence / D. Theories of Reality / 8. Facts / a. Facts

14778

Facts are hard unmoved things, unaffected by what people may think of them [Peirce]

9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual

13160

To exist and be understood, a multitude must first be reduced to a unity [Leibniz]

9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance

13161

Substances are everywhere in matter, like points in a line [Leibniz]