Combining Texts

All the ideas for 'Syntagma', 'Critical Common-Sensism' and 'Explanation in Mathematics'

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7 ideas

8. Modes of Existence / B. Properties / 8. Properties as Modes
If matter is entirely atoms, anything else we notice in it can only be modes [Gassendi]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vagueness is a neglected but important part of mathematical thought [Peirce]
All communication is vague, and is outside the principle of non-contradiction [Peirce]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
We observe qualities, and use 'induction' to refer to the substances lying under them [Gassendi]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Atoms are not points, but hard indivisible things, which no force in nature can divide [Gassendi]
How do mere atoms produce qualities like colour, flavour and odour? [Gassendi]