Combining Texts

All the ideas for 'Two Problems of Epistemology', 'The Principles of Chemistry' and 'Mathematics and the Metaphysicians'

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9 ideas

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox

7557	To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]

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

10059

In mathematic we are ignorant of both subject-matter and truth [Russell]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite

7556	A collection is infinite if you can remove some terms without diminishing its number [Russell]

12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence

7554	Self-evidence is often a mere will-o'-the-wisp [Russell]

14. Science / A. Basis of Science / 6. Falsification

18284

Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]

27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter

17402

Mendeleev saw three principles in nature: matter, force and spirit (where the latter seems to be essence) [Mendeleev, by Scerri]

27. Natural Reality / F. Chemistry / 2. Modern Elements

17399

Elements don't survive in compounds, but the 'substance' of the element does [Mendeleev]

27. Natural Reality / F. Chemistry / 3. Periodic Table

17400

Mendeleev focused on abstract elements, not simple substances, so he got to their essence [Mendeleev, by Scerri]

17401

Mendeleev had a view of elements which allowed him to overlook some conflicting observations [Mendeleev]