My Authors
Read all threads
I think there's a fairly common (among mathematicians and theorists) understanding of mathematics wherein its truths are just something-like-definitional-consequences of choices we make when looking at axiom systems or measurement frameworks. ...
... so when someone says "2+2 always equals 4" it's natural to think this is something like saying "The symbols "2", "+", "=", and "4" are always such that "2+2 = 4" is a consequence of their proper application", in which case the natural thing to do is check other frameworks...
... and then it turns out that this is not true, since it turns out there are settings where we use these symbols in something-like-but-not-identical-with their typical use and "2+2 = 4" comes out false therein. Maths nerds then get excited about talking about these frameworks...
... but that background philosophy of mathematics, and that understanding of the question and what is at stake is itself very far from universal (in fact I would guess it's a minority of professional mathematicians) and so comes out looking like just a bizarre reply to others...
... if one thinks of mathematical truths in a more realist bent, not just linguistic artefacts or anything of the sort but rather as real descriptive truths (about nature, or peculiar abstract objects, or something else) then what matters isn't the words but what they point to...
... so they'll say "Obviously if you change what the symbols mean the sentence isn't true but who cares about that!?" - but from the initial perspective, this is rather like saying ""Bachelor" always means "unmarried man"" then dismissing comparative linguistics as irrelevant...
... if you didn't care how people might use the symbols/phonemes involved in "Bachelor" in a different way why would you ask in the first place? I think this background difference of often incoherently felt rather than explicitly developed philosophies explains 2+2 discourse.
Missing some Tweet in this thread? You can try to force a refresh.

Keep Current with Liam Bright

Profile picture

Stay in touch and get notified when new unrolls are available from this author!

Read all threads

This Thread may be Removed Anytime!

Twitter may remove this content at anytime, convert it as a PDF, save and print for later use!

Try unrolling a thread yourself!

how to unroll video

1) Follow Thread Reader App on Twitter so you can easily mention us!

2) Go to a Twitter thread (series of Tweets by the same owner) and mention us with a keyword "unroll" @threadreaderapp unroll

You can practice here first or read more on our help page!

Follow Us on Twitter!

Did Thread Reader help you today?

Support us! We are indie developers!


This site is made by just two indie developers on a laptop doing marketing, support and development! Read more about the story.

Become a Premium Member ($3.00/month or $30.00/year) and get exclusive features!

Become Premium

Too expensive? Make a small donation by buying us coffee ($5) or help with server cost ($10)

Donate via Paypal Become our Patreon

Thank you for your support!