Combining Texts

All the ideas for 'A Puzzle about Belief', 'An American Indian model of the Universe' and 'Explanation in Mathematics'

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5 ideas

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.
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
Hopi consistently prefers verbs and events to nouns and things [Whorf]
     Full Idea: Hopi, with its preference for verbs, as contrasted to our own liking for nouns, perpetually turns our propositions about things into propositions about events.
     From: Benjamin Lee Whorf (An American Indian model of the Universe [1936], p.63)
     A reaction: This should provoke careful thought about ontology - without concluding that it is entirely relative to language.
14. Science / B. Scientific Theories / 4. Paradigm
Scientific thought is essentially a specialised part of Indo-European languages [Whorf]
     Full Idea: What we call "scientific thought" is a specialisation of the western Indo-European type of language.
     From: Benjamin Lee Whorf (An American Indian model of the Universe [1936], p.246)
     A reaction: This is the beginnings of an absurd extreme relativist view of science, based on a confusion about meaning and thought.
18. Thought / B. Mechanics of Thought / 5. Mental Files
Puzzled Pierre has two mental files about the same object [Recanati on Kripke]
     Full Idea: In Kripke's puzzle about belief, the subject has two distinct mental files about one and the same object.
     From: comment on Saul A. Kripke (A Puzzle about Belief [1979]) by François Recanati - Mental Files 17.1
     A reaction: [Pierre distinguishes 'London' from 'Londres'] The Kripkean puzzle is presented as very deep, but I have always felt there was a simple explanation, and I suspect that this is it (though I will leave the reader to think it through, as I'm very busy…).
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
The Hopi have no concept of time as something flowing from past to future [Whorf]
     Full Idea: A Hopi has no general notion or intuition of time as a smooth flowing continuum in which everything in the universe proceeds at an equal rate, out of a future, through a present, into a past.
     From: Benjamin Lee Whorf (An American Indian model of the Universe [1936], p.57)
     A reaction: If true, this would not so much support relativism of language as the view that that conception of time is actually false.