Combining Texts

All the ideas for 'Resemblance Nominalism: a solution to universals', 'Intro to 2nd ed of Principia Mathematica' and 'Elements of Intuitionism'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite

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Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

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For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]

7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms

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Given all true atomic propositions, in theory every other truth can thereby be deduced [Russell]

8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism

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Entities are truthmakers for their resemblances, so no extra entities or 'resemblances' are needed [Rodriquez-Pereyra]