Parmenides argument

Now assume for reductio that something is like L1 or L1 is like something. Hence, instead of there being one Form in every case, we are confronted with an indefinite number.

Parmenides of Elea (Late 6th cn.—Mid 5th cn. B.C.E.)

Although Parmenides does not make this explicit, it is plain that if every form is numerically distinct from the form of which it is the intentional object, then thanks to Self-Predication and Non-Identity an infinite regress of forms beckons see Rickless75—79and also Gill40 and SayreThere Socrates insisted that he himself is one in being one among many even though he has many parts front and back, upper and lower, and so on.

In fact, in contrast to Reality, both sections have extensive mythological content, which scholars have regularly overlooked.

Parmenides of Elea (Late 6th cn.—Mid 5th cn. B.C.E.)

D5 establishes that if the one is not, then the one is both F and con-F; and D6 establishes that if the one is not, then the one is neither F nor con-F. The following is an imperfect attempt at doing so, while remaining as interpretatively uncommitted as possible. Parmenides suggests that when he is older and more committed to philosophy, he will consider all the consequences of his theory, even regarding seemingly insignificant objects like hair and mud.

The later birthdate B. Moreover, by symmetry of likeness, L1 is like A and B, and hence L1 is like something. Plato is not necessarily a reliable historical source.

So if both D1 and D2 are valid and based on acceptable premises other than Purity-Fthen D1 and D2 together establish that if Purity-F is true and the one is, then the one has contradictory properties.

Thus the one does not move. But, surprisingly, Parmenides does exactly the opposite. Following this circular path, the troupe would eventually arrive back in the underworld at the Gates of Night and Day.

It appears that every Argument of D2 is logically valid. Thus, there must be at least three forms of largeness, L1, L2, and L3. Given that it is impossible for something to have contradictory properties, it is a direct consequence of the conjunction of D5 and D6 that it is not the case that the one is not.

The view that Parmenides went to such lengths to provide a dialectical opposition to his central thesis seems weak: Consequently, the small must be large.

For further criticisms of multisubjectism, see Meinwald24— On their Owenian line, the story becomes that the arguments of Parmenides and his Eleatic successors were meant to be generally destructive of all previous cosmological theorizing, in so far as they purported to show that the existence of change, time, and plurality cannot be naively presumed.

Describe and assess Parmenides argument for all things being continuously one Parmenides argument for things being continuously one begins with. This argument is based on the principle of contradiction or identity, which Parmenides thus formulates: Being is, non-being is not; you will never get beyond this thought.

For Parmenides, being just keeps on being whatever it. Sep 01,  · Parmenides' argument can be refuted the same way we refute Zeno, the calculus of variation.

So long as we allow infinities and measures to exist, we can show how we can go from arbitrarily close to Zero to arbitrarily close to One, thus the transition from non-being to being is accomplished The Skeptical Philosopher.


Parmenides' Argument Parmenides was an ancient philosopher who developed the ideas of "The Way of Truth" and "The Way of Opinion." The thinker introduced his ideas through an epic poem in which he claims to have visited a goddess.

Sep 01,  · Parmenides other argument is about the incomprehensibility of non-being. A world in which there is change requires a combination of being and non-being, but we can't possibly comprehend non-being since it is absolutely The Skeptical Philosopher.

Rather, it is the conclusion of a strictly deductive argument, from more basic premises. And it is not the only startling conclusion Parmenides draws.

Parmenides and the Question of Being in Greek Thought

For he also holds that there is no coming into existence, or ceasing to exist.

Parmenides argument
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Parmenides (dialogue) - Wikipedia