Philosophy
Sextus Empiricus raised concerns which applied to all types of knowledge. He doubted the validity of induction long before its best known critic David Hume, and raised the regress argument against all forms of reasoning:
Those who claim for themselves to judge the truth are bound to possess a criterion of truth. This criterion, then, either is without a judge's approval or has been approved. But if it is without approval, whence comes it that it is truthworthy? For no matter of dispute is to be trusted without judging. And, if it has been approved, that which approves it, in turn, either has been approved or has not been approved, and so on ad infinitum.Because of these and other barriers to acquiring true beliefs, Sextus Empiricus advises that we should suspend judgment about virtually all beliefs, that is, we should neither affirm any belief as true nor deny any belief as false. This view is known as Pyrrhonian skepticism, as distinguished from Academic skepticism, as practiced by Carneades, which, according to Sextus, denies knowledge altogether. Sextus did not deny the possibility of knowledge. He criticizes the Academic skeptic's claim that nothing is knowable as being an affirmative belief. Instead, Sextus advocates simply giving up belief: that is, suspending judgment about whether or not anything is knowable. Only by suspending judgment can we attain a state of ataraxia (roughly, 'peace of mind'). Sextus did not think such a general suspension of judgment to be impractical, since we may live without any beliefs, acting by habit.
Sextus allowed that we might affirm claims about our experience (e.g., reports about our feelings or sensations). That is, for some claim X that I feel or perceive, it could be true to say "it seems to me now that X." However, he pointed out that this does not imply any objective knowledge of external reality. Though I might know that the honey I eat at a certain moment tastes sweet to me, this is merely a subjective judgment, and as such may not tell me anything true about the honey itself.
Interpretations of Sextus's philosophy along the above lines have been advocated by scholars such as Myles Burnyeat, Jonathan Barnes, and Benson Mates.
Michael Frede, however, defends a different interpretation, according to which Sextus does allow beliefs, so long as they are not derived by reason, philosophy or speculation; a skeptic may, for example, accept common opinions in the skeptic's society. The important difference between the sceptic and the dogmatist is that the sceptic does not hold his beliefs as a result of rigorous philosophical investigation. In Against the Ethicists, Sextus in fact directly says that "the Skeptic does not conduct his life according to philosophical theory (so far as regards this he is inactive), but as regards the non-philosophical regulation of life he is capable of desiring some things and avoiding others." (XI, 165). Thus, on this interpretation (and as per Sextus' own words), the skeptic may well entertain the belief that God does or does not exist or that virtue is good. But he may not believe that such claims are true on the basis of reasons.
It must also be remembered that by "dogma" Sextus means "assent to something non-evident " (PH I, 16). And by "non-evident" he means things which lie beyond appearances (and thus beyond proof or disproof), such as the existence and/or nature of causality, time, motion, or even proof itself. Thus, the skeptic will, for example, believe the proposition that "Dion is in the room" if sense-data and ordinary reasoning led to the emergence of such a belief. On the other hand, if she were to "strongly" assert that Dion was "really" in the room, then she may be met with opposing arguments of equal psychological force against the self-same proposition and experience mental disquietude as a result. Thus, the Pyrrhonian does not assent to the proposition "Dion is in the room" in a dogmatic way as that would purport to describe a non-evident reality which lies beyond the "appearance" of Dion being in the room. The Skeptic simply goes along with the appearance just as "a child is persuaded by...his teacher." (PH I, 229). It is for this reason then that Sextus says the Skeptic lives undogmatically in accordance with appearances and also according to a "fourfold regimine of life" which includes the guidance of nature, compulsion of pathe (feelings), laws and customs, and instruction in arts and crafts. The Skeptic follows this course of life while suspending judgment concerning the ultimate truth of the non-evident matters debated in philosophy and the sciences (PH I, 17). Thus, the Pyrrhonian Skeptic is one who believes possibly many things, but yet does not dogmatize about those beliefs since she finds no ultimate justification for them. Thus, Pyrrhonian achieves ataraxia not by finding certain knowledge, but rather by suspending judgment on whether not finding certain knowledge is an inherently bad thing in the first place (as was assumed previously).
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