steve dustcircle ⍻ · @dustcircle
317 followers · 10336 posts · Server masto.ai

The of

youtube.com/watch?v=J08bSN0Qo0
They keep telling us to before it's too late. But can you convert to a that requires to believe?

#irrationality #evangelical #conversion #repent #rationally #religion #faith

Last updated 1 year ago

Imperfect Cognitions · @imperfectcognitions
313 followers · 72 posts · Server mas.to
MarkR · @mbrmark
1508 followers · 9222 posts · Server mastodon.world

A beautiful proof of why \(\sqrt{2}\notin\mathbb{Q}\):

Let \(k=\min\{n\in\mathbb{N}:n\sqrt{2}\in\mathbb{N}\}\).
But, \(k(\sqrt2-1)\sqrt2=2k-k\sqrt2\)
and \(k(\sqrt2-1)<k\).
\(\implies\boxed{\sqrt2\notin\mathbb{Q}}\)

#irrational #irrationalnumber #numbers #mathematics #maths #beautifulproof #squareroot2 #irrationality

Last updated 2 years ago

A beautiful proof of why \(\sqrt{2}\notin\mathbb{Q}\):

Let \(k=\min\{n\in\mathbb{N}:n\sqrt{2}\in\mathbb{N}\}\).
But \(k(\sqrt2-1)\sqrt2=2k-k\sqrt2\) & \(k(\sqrt2-1)<k\).
\[\implies\boxed{\sqrt2\notin\mathbb{Q}}\]

#irrational #irrationalnumber #numbers #mathematics #maths #beautifulproof #squareroot2 #irrationality

Last updated 2 years ago

Cees Grootes · @analyticus
771 followers · 494 posts · Server mastodon.social

Very interesting read!!

How and why irrationality takes hold, and what do to about it.

Why do people hold outlandish beliefs, and how modern universities are straying from their commitment to reason and truth.

Reason To Believe - by Steven Pinker
🔗 persuasion.community/p/steven-

@sociology

#irrational #irrationality #truth #intuition #science #reason #reasoning #scientific #universities #psychology #sociology #rationality #belief #enlightenment #religion #mythology #faith #tribe #tribal

Last updated 2 years ago