That's a two-dimensional matrix, not a triangle. Love on one axis and knowledge on the other

Say that love and knowledge are linearly independent, forming a basis of ℝ². So then we can think of linear combinations of love and knowledge as points in ℝ².

Then, by Carathéodory's Theorem [1], the convex hull [2] of any set of such points may be written as a convex combination [3] of no more than 2+1=3 points.

folksinger simply gave us the set {philosopher, asshole, idiot}, from which to generate a convex hull in the plane (in this case, a triangle).

If we choose knowledge as the y-axis and love as the x-axis, folksinger argues that the philosopher lies somewhere in quadrant 1, the asshole in quadrant 2, and the idiot in quadrant 4.

I guess the question remains as to whether or not this particular embedding of the triangle in the plane really does represent the truth of the matter. :-) (It seems to me he is saying there cannot be evil philosophers, although maybe somebody can think of examples of people who are "full of love" but evil nonetheless.)

[1] https://en.wikipedia.org/wiki/Carath%C3%A9odory%27s_theorem_...

[2] https://en.wikipedia.org/wiki/Convex_hull

[3] https://en.wikipedia.org/wiki/Convex_combination

"...speaking the truth in love, we are to grow up in every way into him who is the head, into Christ..." Ephesians 4:15 (RSVCE)

I don’t think you should write off anti philosophers like this, although I don’t know wat you know about them.

are you suggesting the philosopher is at the apex ?

This is exactly the kind of comment which confirms my opinion about how useless philosophy is.

I am honestly wondering if you are trolling or actually trying to make a point.

Why do you think philosophy is useless?

This is exactly the kind of comment that confirms my hypothesis of the anti-philosophical spectrum.