fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 3 months agoBlocked 🚫mander.xyzimagemessage-square81fedilinkarrow-up1727arrow-down123
arrow-up1704arrow-down1imageBlocked 🚫mander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 3 months agomessage-square81fedilink
minus-squareluciole (he/him)@beehaw.orglinkfedilinkEnglisharrow-up8arrow-down1·edit-23 months agoI’d say if your axioms don’t hold you wouldn’t go far in your quest for truth.
minus-squareMalgas@beehaw.orglinkfedilinkEnglisharrow-up10·3 months 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-up2·3 months 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-23 months 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.