Combining Texts

All the ideas for 'Explanation in Mathematics', 'Dthat' and '23: Book of Isaiah'

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5 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Let us reason together, saith the Lord [Isaiah]
     Full Idea: Come now, and let us reason together, saith the Lord.
     From: Isaiah (23: Book of Isaiah [c.680 BCE], 01.18)
     A reaction: A verse which not only offers Biblical support for philosophy, but would also seem to be a challenge to Christian fideists.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
     Full Idea: Essences and essential properties do not seem to be useful in mathematical contexts, since all mathematical truths are regarded as necessary (though Kit Fine distinguishes between essential and necessary properties).
     From: Paolo Mancosu (Explanation in Mathematics [2008], §6.1)
     A reaction: I take the proviso in brackets to be crucial. This represents a distortion of notion of an essence. There is a world of difference between the central facts about the nature of a square and the peripheral inferences derivable from it.
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Are causal descriptions part of the causal theory of reference, or are they just metasemantic? [Kaplan, by Schaffer,J]
     Full Idea: Kaplan notes that the causal theory of reference can be understood in two quite different ways, as part of the semantics (involving descriptions of causal processes), or as metasemantics, explaining why a term has the referent it does.
     From: report of David Kaplan (Dthat [1970]) by Jonathan Schaffer - Deflationary Metaontology of Thomasson 1
     A reaction: [Kaplan 'Afterthought' 1989] The theory tends to be labelled as 'direct' rather than as 'causal' these days, but causal chains are still at the heart of the story (even if more diffused socially). Nice question. Kaplan takes the meta- version as orthodox.
27. Natural Reality / E. Cosmology / 1. Cosmology
The world is established, and cannot be moved [Isaiah]
     Full Idea: The world is also established, that it cannot be moved.
     From: Isaiah (23: Book of Isaiah [c.680 BCE], 93.1)
     A reaction: This verse caused big trouble for Galileo. The only reason I can think of for Isaiah to write this is that occasionally people were prone to panic, and worry that the Earth might suddenly and abruptly be moved.
28. God / A. Divine Nature / 1. God
Beside me there is no God [Isaiah]
     Full Idea: I am the first, and I am the last; and beside me there is no God.
     From: Isaiah (23: Book of Isaiah [c.680 BCE], 44.06)
     A reaction: This seems to be the first clear statement (c. 680 BCE) of monotheism, certainly preceding any Greek views on the subject (cf. Idea 2629,Idea 7347). It is not just an arrogant assertion by the jews, but a humble sacrifice, donating their god to humanity.