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Single Idea 17641
[filed under theme 1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
]
Full Idea
Any new discovery as to mathematical method and principles is likely to upset a great deal of otherwise plausible philosophising, as well as to suggest a new philosophy which will be solid in proportion as its foundations in mathematics are securely laid.
Gist of Idea
Discoveries in mathematics can challenge philosophy, and offer it a new foundation
Source
Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.283)
Book Ref
Russell,Bertrand: 'Essays in Analysis', ed/tr. Lackey,Douglas [George Braziller 1973], p.283
A Reaction
This is a manifesto for modern analytic philosophy. I'm not convinced, especially if a fictionalist view of maths is plausible. What Russell wants is rigour, but there are other ways of getting that. Currently I favour artificial intelligence.
The
18 ideas
with the same theme
[philosophy explores where reason take us]:
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15447
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We shouldn't always follow where the argument leads!
[Lewis on Plato]
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23767
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The winds of the discussion should decide its destination
[Plato]
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5891
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Philosophy is the collection of rational arguments
[Cicero]
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17240
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Definitions are the first step in philosophy
[Hobbes]
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5631
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Reason is only interested in knowledge, actions and hopes
[Kant]
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21406
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Because there is only one human reason, there can only be one true philosophy from principles
[Kant]
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6184
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Consistency is the highest obligation of a philosopher
[Kant]
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21753
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If we look at the world rationally, the world assumes a rational aspect
[Hegel]
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19241
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An idea on its own isn't an idea, because they are continuous systems
[Peirce]
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24143
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Thinkers might agree some provisional truths, as methodological assumptions
[Nietzsche]
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17641
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Discoveries in mathematics can challenge philosophy, and offer it a new foundation
[Russell]
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5189
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Philosophers should abandon speculation, as philosophy is wholly critical
[Ayer]
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21896
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Philosophy aims to build foundations for thought
[Derrida, by May]
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15209
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Like disastrous small errors in navigation, small misunderstandings can wreck intellectual life
[Harré/Madden]
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9808
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Philosophy aims to reveal the grandeur of mathematics
[Badiou]
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6851
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We overvalue whether arguments are valid, and undervalue whether they are interesting
[Monk]
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9593
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Progress in philosophy is incremental, not an immature seeking after drama
[Williamson]
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6855
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Interesting philosophers hardly every give you explicitly valid arguments
[Martin,M]
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