Combining Texts

All the ideas for 'works', 'Presidential Address of Am. Math. Soc' and 'Giordano Bruno and Hermetic Tradition'

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4 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
The dating, in 1614, of the Hermetic writings as post-Christian is the end of the Renaissance [Yates]
     Full Idea: The dating by Isaac Casaubon in 1614 of the Hermetic writings as not the work of a very ancient Egyptian priest but written in post-Christian times, is a watershed separating the Renaissance world from the modern world.
     From: Frances A. Yates (Giordano Bruno and Hermetic Tradition [1964], Ch.21)
     A reaction: I tend to place the end of the Renaissance with the arrival of the telescope in 1610, so the two dates coincide. Simply, magic was replaced by science. Religion ran alongside, gasping for breath. Mathematics was freed from numerology.
The magic of Asclepius enters Renaissance thought mixed into Ficino's neo-platonism [Yates]
     Full Idea: The magic of Asclepius, reinterpreted through Plotinus, enters with Ficino's De Vita into the neo-platonic philosophy of the Renaissance, and, moreover, into Ficino's Christian Platonism.
     From: Frances A. Yates (Giordano Bruno and Hermetic Tradition [1964], Ch.4)
     A reaction: Asclepius is the source of 'Hermetic' philosophy. This move seems to be what gives the Renaissance period its rather quirky and distinctive character. Montaigne was not a typical figure. Most of them wanted to become gods and control the stars!
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
We have no adequate logic at the moment, so mathematicians must create one [Veblen]
     Full Idea: Formal logic has to be taken over by mathematicians. The fact is that there does not exist an adequate logic at the present time, and unless the mathematicians create one, no one else is likely to do so.
     From: Oswald Veblen (Presidential Address of Am. Math. Soc [1924], 141), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This remark was made well after Frege, but before the advent of Gödel and Tarski. That implies that he was really thinking of meta-logic.
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]
     Full Idea: In 1846 De Morgan introduced the enormously influential notion of a possibly arbitrary and stipulated 'universe of discourse'. It replaced Boole's original - and metaphysically a bit suspect - universe of 'all things'.
     From: report of Augustus De Morgan (works [1846]) by Michal Walicki - Introduction to Mathematical Logic History D.1.1
     A reaction: This not only brings formal logic under control, but also reflects normal talk, because there is always an explicit or implicit domain of discourse when we talk. Of virtually any conversation, you can say what it is 'about'.