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$\begingroup$ en.wikipedia.org/wiki/Vop%C4%9Bnka's_principle $\endgroup$

Sam Hopkins
– Sam Hopkins ♦

2017-01-18 18:26:02 +00:00
Commented Jan 18, 2017 at 18:26
8

$\begingroup$ This is an interesting twist! A "probably false" conjecture which now by many is probably believed to be true, or at least consistent :) $\endgroup$

Wojowu
– Wojowu

2017-01-18 20:30:34 +00:00
Commented Jan 18, 2017 at 20:30
6

$\begingroup$ @AdamPrzeździecki Negation of AC is also consistent, yet most believe it is true, so I don't get your argument. $\endgroup$

Wojowu
– Wojowu

2017-01-18 20:55:15 +00:00
Commented Jan 18, 2017 at 20:55
8

$\begingroup$ @AdamPrzeździecki I was refering to the somewhat platonistic meaning of "truth", regarding one's personal view of "the" universe of sets, just like one might believe CH is false even though it's not contradicting ZFC. $\endgroup$

Wojowu
– Wojowu

2017-01-18 22:04:20 +00:00
Commented Jan 18, 2017 at 22:04
3

$\begingroup$ Nobody mentioned here that Vopenka's principle has interesting consequences in homotopy theory. A good starting point is the nLab: ncatlab.org/nlab/show/Vop%C4%9Bnka%27s+principle $\endgroup$

Philippe Gaucher
– Philippe Gaucher

2017-03-13 09:07:41 +00:00
Commented Mar 13, 2017 at 9:07

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