Combining Texts

All the ideas for '27: Book of Daniel', 'Grundlagen (Foundations of Theory of Manifolds)' and 'On Probability and Induction'

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4 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
Contextual values are acceptable in research, but not in its final evaluation [Reichenbach, by Reiss/Sprenger]
     Full Idea: Reichenbach's claim is interpreted as saying that contextual values, which may have contributed to the discovery of a theory, are irrelevant for justifying the acceptance of a theory, and for assessing how evidence bears on theory.
     From: report of Hans Reichenbach (On Probability and Induction [1938], pp.36-7) by Reiss,J/Spreger,J - Scientific Objectivity 3.2
     A reaction: This influential idea is very helpful. It allows Galileo and co to pursus all sorts of highly personal and quirky lines of enquiry, because we only demand full objectivity when it is all over. Very good!
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
     Full Idea: Cantor's development of set theory began with his discovery of the progression 0, 1, ....∞, ∞+1, ∞+2, ..∞x2, ∞x3, ...∞^2, ..∞^3, ...∞^∞, ...∞^∞^∞.....
     From: report of George Cantor (Grundlagen (Foundations of Theory of Manifolds) [1883]) by Shaughan Lavine - Understanding the Infinite VIII.2
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
     Full Idea: Ordinal numbers are generated by two principles: each ordinal has an immediate successor, and each unending sequence has an ordinal number as its limit (that is, an ordinal that is next after such a sequence).
     From: report of George Cantor (Grundlagen (Foundations of Theory of Manifolds) [1883]) by Shaughan Lavine - Understanding the Infinite III.4
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Resurrection developed in Judaism as a response to martyrdoms, in about 160 BCE [Anon (Dan), by Watson]
     Full Idea: The idea of resurrection in Judaism seems to have first developed around 160 BCE, during the time of religious martyrdom, and as a response to it (the martyrs were surely not dying forever?). It is first mentioned in the book of Daniel.
     From: report of Anon (Dan) (27: Book of Daniel [c.165 BCE], Ch.7) by Peter Watson - Ideas
     A reaction: Idea 7473 suggests that Zoroaster beat them to it by 800 years.