A neuron, fired a pulse that lifted my conscious into an upper state

[Anonymous No.8612216]

What precisely is an angle??

The problem is that defining an angle correctly requires calculus. This is a point implicit in Archimedes’ derivation of the length of the circumference of a circle, using an infinite sequence of successively refined approximations with regular polygons. It is also supported by the fact that The Elements [Euclid] does not try to measure angles, with the exception of right angles and some related special cases. Further evidence can be found in the universal reluctance of traditional texts to spell out a clear definition of this supposedly ‘basic’ concept

[Anonymous No.8612230]

>>8612216
let x, y be elements of an inner product space with an induced norm.
[eqn]\operatorname {angle} (x,y)=\arccos {\frac {\langle x,y\rangle }{\|x\|\cdot \|y\|}}[/eqn]

[Anonymous No.8612241]

>>8612230

Define inverse cosine.

[Anonymous No.8612277]

>>8612241
its Taylor series

[Anonymous No.8612290]

>>8612277

Taylor series requires infinities and calculus and isn't intuitive. Again, an angle is supposed to be a "basic" concept and you can't even give me a basic definition.

[Anonymous No.8612393]

Op has a point

[Anonymous No.8612406]

>>8612216
So you are arguing p should be np
But there is no necessity for that