What if we suppose continuum hypothesis is false?
28452
Statement that is provable in $ZFC+CH$ yet unprovable in $ZFC+\lnot CH$
43348
What is wrong with Popper's theory of falsification?
147874
Why does the existence of independent statements not prove consistency?
140531
Why continuum function isn't strictly increasing?
63952
Disproving: If $(\Gamma\vdash(\phi\,\lor\psi))$, either $(\Gamma\vdash\phi)$ or $(\Gamma\vdash\psi)$ is true
65895
Irrationality proofs not by contradiction
130028
Why is a statement "vacuously true" if the hypothesis is false, or not satisfied?
87439
Need word for situation where conclusion doesn't follow from the experimental data
107888
Why zero correlation does not necessarily imply independence
84378
Does axiom of foundation/regularity protect against Russell-like paradoxes?
101877
Assumed True until proven False. The Curious Case of the Vacuous Truth
156234
Why is the Converse to Lagrange's Theorem False?
56325
If we accept a false statement, can we prove anything?
52322
Implication in mathematics - How can A imply B when A is False?
113957
Why is it possible to conclude everything from a false statement?
148726
Are we living in a false vacuum? Is there any way to tell?
20462
Validity of conditional statement when the premise is false.