Proof by contradiction

Chernyshevsky considers that men are basically good and always search after their enlightened self-interest. He thinks that men will arrive incontrovertible truth through science and rationalism. In this section, Dostoevsky spins a web of “Proof by contradictions” to confront scientific rationalism and utilitarian beliefs.…

Lemma: If p > 3 is prime, then either p = 1 (mod 6) or p = 5 (mod 6). Proof: The residue classes modulo 6 partition Z, so any z in Z satisfies a congruence z = n (mod 6) where n is in {0,1,...,5}. z is divisible by 6 if n = 0, 2 if n = 2, 3 if n = 3, and 2 if n = 4. These cases cover the primes z = 2 and z = 3; if z > 3 is prime, it follows that n = 1 or n = 5, i.e., z = 1 (mod 6) or z = 5 (mod 6). Now suppose there are only finitely many primes congruent to 5 modulo 6, say p_1, ...,…

body of text are countless contradictions to his 4-omni abilities, a few of which I…

has infinite objective reality, then this idea could not have come from Descartes and must have come from God himself. Therefore, God exists. Now that we have outlined the premises of Descartes argument in the Third Meditation, we can construct his proof as follows: A) I have a clear and distinct perception of God in which God has infinite objective reality. B) The cause of an idea must have at least as much formal reality as the idea has objective reality. C) The idea of God must have been…

atheism. Meletus call that Socrates “did not believe in the gods of the city and doesn’t believe in other gods”. By Meletus claiming this of Socrates, at the same time he is accusing him for not believing in any God. Therefore, here we identify a contradiction within his accusation, as we see Socrates cannot at the same moment be an atheism and believe in other new divinities. The way Socrates defended himself to this accusation is by asking Meletus. “Believe in the existence of human things,…

The contradiction comes in light of the fact that, in his proof of proposition five he highlights that, there is no sharing of attributes. Particularly, Spinoza observes that, if substances are distinguishable from attributes, there cannot be more than one substance of the same attribute…

procedure to determine if one’s action is morally right. To use the categorical imperative, one must first identify the maxim of one’s action. Second, one must universalize that maxim, and finally, one must then look for a contradiction between the two. If there is a contradiction, then there is a moral duty against acting on the supposed…

proof for the existence of God he approaches it with the concept of motion. But looking deeper it really is about the issue of actuality and potentiality which Aristotle also used to analyze motion. This proof reminds us that things are in motion and move when potential motion or ‘possibility’ becomes actual motion. This is very similar to Aristotle’s explanation of motion defined as “actuality of a potentiality.” Next Aquinas tell us that only an actual motion can turn potential motion into…

argues that being able to exist in both reality and in understanding is the best to humans. He specifically focuses on the topic of an omnient God. He does use a reducto in his argument, so part of the premises contradict, but this contradiction strengthens the proof for the conclusion. I agree with his point of view. St. Anselm refers back to the difference between conceiving in concept vs in realty, all though out his writing. With an example of a painter Anselm explains how a painter…

not be considered completely responsible. Then again, this proof can likewise be utilized to propose that a man is forceful by nature and a risk to society. 1. Mind science confirmation can offer a sign of forceful propensities. Rockefeller University neurobiologist…