Combining Texts

All the ideas for 'fragments/reports', 'Letter to the Editor about Bayle' and 'Review of Chihara 'Struct. Accnt of Maths''

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9 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
23367 Even pointing a finger should only be done for a reason [Epictetus]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10185 Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10184 Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
10189 There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10186 If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
10187 Abstract algebra concerns relations between models, not common features of all the models [Burgess]
10188 How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
11945 In addition to laws, God must also create appropriate natures for things [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
19348 All that is real in motion is the force or power which produces change [Leibniz]