Combining Texts

Ideas for 'Axiomatic Theories of Truth', 'A Universe from Nothing' and 'Two Dogmas of Empiricism'

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4 ideas

7. Existence / C. Structure of Existence / 2. Reduction
An understanding of the most basic physics should explain all of the subject's mysteries [Krauss]
     Full Idea: Once we understood the fundamental laws that govern forces of nature at its smallest scales, all of these current mysteries would be revealed as natural consequences of these laws.
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 08)
     A reaction: This expresses the reductionist view within physics itself. Krauss says the discovery that empty space itself contains energy has led to a revision of this view (because that is not part of the forces and particles studied in basic physics).
That Peano arithmetic is interpretable in ZF set theory is taken by philosophers as a reduction [Halbach]
     Full Idea: The observation that Peano arithmetic is relatively interpretable in ZF set theory is taken by many philosophers to be a reduction of numbers to sets.
     From: Volker Halbach (Axiomatic Theories of Truth [2011], 23)
     A reaction: Nice! Being able to express something in a different language is not the same as a reduction. Back to the drawing board. What do you really mean by a reduction? If we model something, we don't 'reduce' it to the model.
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
In 1676 it was discovered that water is teeming with life [Krauss]
     Full Idea: Van Leeuwenhoek first stared at a drop of seemingly empty water with a microscope in 1676 and discovered in was teeming with life.
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 04)
     A reaction: I am convinced that this had a huge influence on Leibniz's concept of monads. He immediately became convinced that it was some sort of life all the way down. He would be have been disappointed by the subsequent chemical reduction of life.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Quine is hopeless circular, deriving ontology from what is literal, and 'literal' from good ontology [Yablo on Quine]
     Full Idea: Quine's advice is to countenance numbers iff the literal part of our theory quantifies over them; and to count the part of our theory that quantifies over numbers literal iff there turn out really to be numbers.
     From: comment on Willard Quine (Two Dogmas of Empiricism [1953]) by Stephen Yablo - Does Ontology Rest on a Mistake? XIII
     A reaction: This sounds a bit devastating. Presumably it is indeed the choice of a best theory which results in the ontological commitment, so it is not much help to then read off the ontology from the theory.