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Why is the postulate 5 in the Euclid axiom considered to be universal truth?
Wiki User
∙ 13y ago
It is NOT considered a universal truth. It used to be, because mathematicians considered it to be "self-evident", but more recently, mathematical systems both with and without the parallel axiom have been developed. It turns out the "non-euclidian geometries" are very useful. In the real world, the euclidian geometry does NOT apply - although in many cases it is a good approximation.
Wiki User
∙ 13y ago
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What is a real world example of a postulate or axiom?
an axiom is a fact/property such as "ac = ca"
What is the difference between and axiom and a postulate?
There is no difference - synonymous.
Is every statement a theorem why?
There are many kinds of statement that are not theorems: A statement can be an axiom, that is, something that is assumed to be true without proof. It is usually self-evident, but like Euclid's parallel postulate, need not be. A statement need not be true in all circumstances - for example, A*B = B*A (commutativity) is not necessarily true for matrix multiplication. A statement can be false. A statement can be self-contradictory for example, "This statement is false".
A statement whose truth is accepted without proof is considered to be?
An axiom
Is axiom a fundamental truth?
An axiom, in Geometry, is a statement that we assume is true. Whether it is actually true or not is irrelevant. For the purpse of solving the problem, it is considered to be true.
An axiom or a is an accepted statement of fact?
A postulate is assumed to be a fact and used to derive conclusions. However, there is no assurance that the postulate is itself true and so all the derived conclusions may depend on a proposition that is not necessarily true. Euclid's fifth, or parallel) postulate in geometry is a notable example.
Who restated Euclid's 5th postulate?
Probably the best known equivalent of Euclid's parallel postulate, contingent on his other postulates, is Playfair's axiom, named after the Scottish mathematician John Playfair, which states:In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.
What are synonyms of postulate?
Educated guess.
What is a real world example of a postulate or axiom?
an axiom is a fact/property such as "ac = ca"
Are two lines that are parallel to the same line parallel to each other?
Yes they are. It is delineated in something called the parallel postulate, and the axiom is also called Euclid's fifth postulate. This is boilerplate Euclidean geometry, and a link can be found below if you'd like to review the particulars.
What is another name for the Playfair Axiom?
Parallel Postulate
What is another name for the parallel postulate?
Playfair Axiom
Another name for the Playfair Axiom?
parallel postulate
What is the difference between and axiom and a postulate?
There is no difference - synonymous.
What is a statement that is accepted as true without proof.?
A postulate or axiom
What is also called an axiom?
In classical studies, it is also called a postulate.
What is the accepted statement of fact?
A postulate or axiom is an accepted statement of fact.
