Combining Texts

Ideas for 'Mahaprajnaparamitashastra', 'Structures and Structuralism in Phil of Maths' and 'fragments/reports'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

2 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

10165	'Analysis' is the theory of the real numbers [Reck/Price]
	Full Idea: 'Analysis' is the theory of the real numbers.
	From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
	A reaction: 'Analysis' began with the infinitesimal calculus, which later built on the concept of 'limit'. A continuum of numbers seems to be required to make that work.

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

7555	Zeno achieved the statement of the problems of infinitesimals, infinity and continuity [Russell on Zeno of Citium]
	Full Idea: Zeno was concerned with three increasingly abstract problems of motion: the infinitesimal, the infinite, and continuity; to state the problems is perhaps the hardest part of the philosophical task, and this was done by Zeno.
	From: comment on Zeno (Citium) (fragments/reports [c.294 BCE]) by Bertrand Russell - Mathematics and the Metaphysicians p.81
	A reaction: A very nice tribute, and a beautiful clarification of what Zeno was concerned with.