Philosophy
 21, Fall, 2004

Reconstruction of an Argument for Protagorean Relativity

Protagoras of Abdera is famous for advocating a doctrine of relativity, 
according to which each individual person is a “measure” of truth and reality. 
One statement of the doctrine can be found in Plato’s Theaetetus: “Not that any 
one ever made another think truly, who previously thought falsely. For no one 
can think what is not, or think anything different from that which he feels; 
and this is always true” (167b). Aristotle tells us that “he said that man is 
the measure of all things, meaning simply that that which seems to each man 
also assuredly is” (Metaphysics, 1062b 13).

The basis for this doctrine is found by Plato and Aristotle in the fact that 
people disagree about many things, such as whether an object is beautiful or 
whether a breeze is cold. Plato at least seems to have been willing to admit 
that the feeling of cold is relative. Even if it is, the relativity of some 
terms is not an adequate basis for a fully general claim about relativity. It 
may be, to use one of Aristotle’s examples, that an object appears to one 
person as a man, to another as a ship, and to yet another as a wall 
(Metaphysics, 1007b 20). Do we want to say that the object is both a man, a 
ship, and a wall?

We can find an argument for the general thesis of relativity in Sextus 
Empiricus. “He asserts that all sense-impressions and opinions are true and 
that truth is a relative thing inasmuch as everything that has appeared to 
someone or has been opined by someone is at once real in relation to him” 
(Against the Logicians I. 61). Let us try to make this argument more exact, 
using the case of opinion. We will restrict ourselves to opinions about really 
existing objects.

1. For all x and persons y, if y has the opinion that x is O, then x’s being O 
is real for y. 2. For any x and person y, if x’s being O is real for y, then O 
is true of x for y.
3. So, for all x and persons y, if y has the opinion that x is O, then O is 
true of x for y. 4. For all x and persons y, if O is true of x for y, then O is 
true of x.
5. So, for all x and persons y, if y has the opinion that x is O, then O is 
true of x.

The key premises in this argument are 2 and 4. We can take 2 to be a way of 
understanding the expression “true for.” Premise 4 makes the crucial claim that 
truth for any one person is the truth pure and simple.

Most opponents of relativism, such as Aristotle, would concentrate their 
criticism on premise 4. They might be inclined to allow that there is a 
harmless notion of being true for a person, so long as it is understood merely 
as an expression of the fact that the content of the person’s opinion in some 
way is “real” in the mind of that person, as premise 2 puts it. What they 
object to is the view that “truth” taken in this way should be understood to be 
truth in an unqualified way.

According to the opponents of relativism, “truth” understood in an unqualified 
way indicates a relation of “correspondence” between the “reality” in S’s mind 
of x’s being O and a reality that is independent of what is going on in S’s 
mind.

A relativist could deny that there is any such thing as mind-independent 
reality, which would make a correspondence account of truth impossible. 
Protagoras himself seems not to have taken this line. Instead, he emphasized 
that individual human beings are the “measure” of reality. Modern relativists 
argue that any description we make of reality is the result of the way we have 
(in Protagorean terms) “measured” it. We cannot get outside ourselves to 
evaluate the success of our “measuring” of reality, and the only alternative is 
to hold that our own individual “measuring” is the standard of truth.

The fact that all opinions must be called “true” does not mean that any opinion 
is just as good as any other. As presented by Plato, Protagoras allowed that 
the opinions of a “healthy” soul are better, though not “truer,” than the 
opinions of an “unhealthy” soul (Theaetetus 167b). Perhaps we should say that 
the healthy soul is better at “measuring” what is and what is not.
 
 
http://hume.ucdavis.edu/mattey/phi021/ProgatgorasRelativism.pdf
 
 
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