Daisy’s Reviews > Incompleteness: The Proof and Paradox of Kurt Gödel > Status Update

Daisy
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Gödel’s first incompleteness theorem states the incompleteness of any formal system rich enough to express arithmetic. So Gödel’s conclusion, you might suspect, has something to say about the feasibility (or lack thereof) of eliminating all intuitions from mathematics.
Jul 06, 2026 10:30PM
Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries)

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Daisy
Daisy is on page 122 of 296
Jul 05, 2026 03:42PM
Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries)


Daisy
Daisy is on page 106 of 296
Wittgenstein’s exasperation with his disciples even in his native Vienna, his insistence that although he might sound like a positivist he decidedly was not one, revolves around the meaning of the closing proposition of his Tractatus, numbered simply 7, the severely fulminating (so like a prophet of old): Wovon man nicht sprechen kann, darüber muss man schweigen, or: Of what we cannot speak we must remain silent.
Jul 05, 2026 12:00PM
Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries)


Daisy
Daisy is on page 85 of 296
Jul 02, 2026 08:03PM
Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries)


Daisy
Daisy is on page 25 of 296
Gödel’s theorems don’t demonstrate the limits of the human mind, but rather the limits of computational models of the human mind (basically, models that reduce all thinking to rule-following). They don’t leave us stranded in postmodern uncertainty but rather negate a particular reductive theory of the mind.
Jul 01, 2026 07:13AM
Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries)


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Daisy The most straightforward way of understanding intuitions is that they are given to us by the nature of things; again intuition is seen as the a priori analogue to sense perception, a direct form of apprehension.


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