[folksinger]

Think of a triangle. At one point is "philosopher", at another "asshole", and the third "idiot".

Consider the edge between "philosopher" and "idiot" to be "innocent love". Consider the edge between "philosopher" and "asshole" to be "pure knowledge".

The total idiot has all the love and none of the knowledge. The total asshole has all of the knowledge and none of the love. The total philosopher has all the love and all of the knowledge.

Anti-philosophers fall somewhere along the "asshole-idiot" spectrum. Stock brokers, tech bloggers, newscasters, Hollywood actors. You get the drift.

[hammock]

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

[nicklaf]

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

[cicero]

"...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)

[hateduser2]

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

[vbuwivbiu]

are you suggesting the philosopher is at the apex ?

[BrandoElFollito]

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.

[cgmg]

Why do you think philosophy is useless?

[folksinger]

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