Combining Texts

All the ideas for 'fragments/reports', 'Principles of Theoretical Logic' and 'Intros to 'Buddhist Scriptures''

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3 ideas

4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]
     Full Idea: The first clear proof of the consistency of the first order predicate logic is found in the 1928 book of Hilbert and Ackermann.
     From: report of Hilbert,D/Ackermann,W (Principles of Theoretical Logic [1928]) by Michal Walicki - Introduction to Mathematical Logic History E.2.1
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
29. Religion / C. Spiritual Disciplines / 3. Buddhism
'Buddha' just means a person who is fully enlightened about life [Conze]
     Full Idea: 'Buddha' is not the name of a person, but designates a type. 'Buddha' is Sanskrit for someone who is 'fully enlightened' about the nature and meaning of life.
     From: Edward Conze (Intros to 'Buddhist Scriptures' [1959], Ch.1)
     A reaction: There seems to be an unexplained rule that there is never more than one Buddha in any generation. This isn't controlled by gods, so I take it that everyone defers to the most enlightened one, even if they themselves are very advanced in enlightenment.