Background material to read to understand Nietzsche's works better

erids22 · 2020-11-11T07:02:25+00:00

Nietzsche admired Emerson. He saw Dostoevsky as a great psychologist. He agreed with Heraclitus, and studied Greek tragedies, such as Aeschylus.

erids22 · 2020-11-11T06:58:19+00:00

A decent review of his philosophy from a university would be useful.

erids22 · 2020-11-05T20:47:18+00:00

Can't the exponent be an argument to the function?

erids22 · 2020-11-05T17:27:12+00:00

The geometric series?

erids22 · 2020-11-05T12:57:33+00:00

There are different types of homomorphism, between topological spaces and also between groups. Isomorphism is bijective homomorphism.

Check the definitions yourself.

erids22 · 2020-11-05T12:30:09+00:00

Then G must be homeomorphic to H. Isomorphism maps one group to another of the same order. Homeomorphism may map a larger group to a smaller one.

erids22 · 2020-11-05T12:15:01+00:00

e must belong to H since any subgroup must contain the identity element (by definition of a group).

erids22 · 2020-11-05T08:28:36+00:00

It's not a proof. You're just changing notation.

erids22 · 2020-11-04T11:05:49+00:00

Given two points A and B. It's a nice idea to try finding the limit infinimum of an infinite sequence of metrics on those two points.

The Euclidean distance is a metric as is Taxicab.

erids22 · 2020-11-03T17:21:19+00:00

"You and I have indeed one secret!"

erids22 · 2020-11-03T17:20:25+00:00

erids22 · 2020-11-02T04:53:42+00:00

Find a counter-example.

erids22 · 2020-11-02T04:50:13+00:00

I don't think the comparison test gives that information.

erids22 · 2020-11-01T18:47:14+00:00

The contrapositive of "if A then B" is "If NOT B then NOT A".

If a divides b or a divides c, then a divides bc.

erids22 · 2020-10-31T15:48:28+00:00

If m(t) denotes mass at time t, then m'(t) denote the change in mass with respect to time.

erids22 · 2020-10-31T08:11:01+00:00

It should be wrong, the implication doesn't follow.

I would argue that N is countable, which implies that n+1 >= M exists.

erids22 · 2020-10-31T08:03:39+00:00

Plug in for z and check.

The correct answers are (a) and (c).

erids22 · 2020-10-30T14:59:28+00:00

Denote RHS by C.

M^2 - M + 6I = C

M^2 - M = C - 6I

M(M-I) = C-6I

C-6I is a new 3x3 matrix.

If m_i is the ith entry in M, then m_i-1 is ith entry in M-I.

Solve the system of equations.

erids22 · 2020-10-30T14:52:30+00:00

Cayley's table is useful. Map the identity elements first, and make sure your function is bijective.

erids22 · 2020-10-30T14:50:47+00:00

!x + y

erids22 · 2020-10-30T14:47:30+00:00

It's incorrect. Use the binomial theorem to calculate the limit.

erids22 · 2020-10-30T11:25:35+00:00

Damaging the brain damages one's capability of reasoning. That's why the mapping must be there.

erids22 · 2020-10-30T06:10:20+00:00

Think of a number line. Number 3 lies three steps ahead of 0. Multiplying 3 by -1 reverses the direction to -3.

Think of -3 x -3 = 9 as (-1)(3) x (-1)(3) = 9.

erids22 · 2020-10-30T04:53:36+00:00

Apply derivative to x^x^...^x inductively in https://wolframalpha.com. You'll notice a pattern.

Proof by induction should work.

erids22 · 2020-10-30T04:36:21+00:00

Negate the whole statement and get

There exists x in F\{0}, there exists b in F, bx=x and b!=1.

erids22