fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 22 days agoBlocked 🚫mander.xyzimagemessage-square81fedilinkarrow-up1724arrow-down122
arrow-up1702arrow-down1imageBlocked 🚫mander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 22 days agomessage-square81fedilink
minus-squareluciole (he/him)@beehaw.orglinkfedilinkEnglisharrow-up8arrow-down1·edit-222 days agoI’d say if your axioms don’t hold you wouldn’t go far in your quest for truth.
minus-squareMalgas@beehaw.orglinkfedilinkEnglisharrow-up10·22 days agoThe thing that is absolute is a predicate of the form “if [axioms] then [theorems]”. And the fun thing about if statements is that they can be true even when the premise is false.
minus-squareluciole (he/him)@beehaw.orglinkfedilinkEnglisharrow-up2·22 days agoOf course in boolean algebra “if [false] then p” is always true no matter “p”, but it’s not telling us much.
minus-squarelolcatnip@reddthat.comlinkfedilinkEnglisharrow-up4·edit-222 days agoThat’s not a gotcha. It’s basically just the definition of an axiom.
I’d say if your axioms don’t hold you wouldn’t go far in your quest for truth.
The thing that is absolute is a predicate of the form “if [axioms] then [theorems]”.
And the fun thing about if statements is that they can be true even when the premise is false.
Of course in boolean algebra “if [false] then p” is always true no matter “p”, but it’s not telling us much.
That’s not a gotcha. It’s basically just the definition of an axiom.