Combining Philosophers

Ideas for Hermarchus, Charles Sanders Peirce and Baruch de Spinoza

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7 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

17185

Mathematics deals with the essences and properties of forms [Spinoza]

6. Mathematics / A. Nature of Mathematics / 2. Geometry

17222

The sum of its angles follows from a triangle's nature [Spinoza]

17197

The idea of a triangle involves truths about it, so those are part of its essence [Spinoza]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

14775

Numbers are just names devised for counting [Peirce]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

14776

That two two-eyed people must have four eyes is a statement about numbers, not a fact [Peirce]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

14788

Mathematics is close to logic, but is even more abstract [Peirce]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism

19226

We now know that mathematics only studies hypotheses, not facts [Peirce]