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 books.google.com In his commentary on (I.29), Proclus gives Ptolemy's proof and points out its flaws
, and then proceeds to give his own proof of the fifth postulate. First, he says, we
must accept an axiom that was used earlier by Aristotle: Aristotle's Axiom If from ... 

 books.google.com term that is diluted the most in the context of the In Tim. is 'axiom'. Proclus seems
to use this term in the sense of 'a credible universal statement of inherent
properties that functions as starting point and does not receive a demonstration':
what ... 

 books.google.com “the axioms embrace what is of itself at once evident to the mind and readily
grasped by our uninstructed intelligence”; “the ... 2 Despite his own insistence on
the selfevident character of axioms, Proclus was uncomfortably aware that the
great ... 

 books.google.com ... Proclus's Theological elements Proclus, Marinus. and hypothesis the fame,
according to the demoniacal Aristotle ; but when that which is assumed in the
order of a principle, is indeed known to the learner, and credible by itself, it is an
axiom ... 

 books.google.com Proclus (Diadochus.), Marinus (of Naples.) angles less than two right. But,
according to the second difference, that will not be an axiom which fays, that two
right I'm 's cannot comprehend Jpace, which some at present consider as an
axiom. 

 books.google.com Containing a Treasury of Pythagoric and Platonic Physiology Proclus. 44 Every
thing however, which ... Timaeus, in a manner truly conformable to the geometric
method, after the definitions assumes these axioms. For having said what being ... 

 books.google.com Therefore some of the axioms are Euclid's (whether he called them common
notions, or axioms, as is perhaps more likely since Proclus calls them axioms):
and we need not hesitate to accept as genuine the first three discussed by
Proclus, viz. 

 books.google.com Therefore some of the axioms are Euclid's (whether he called them common
nations, or axioms, as is perhaps more likely since Proclus calls them axioms):
and we need not hesitate to accept as genuine the first three discussed by
Proclus, viz. 

 books.google.com and readily grasped, I mean both the postulate and the axiom; but the postulate
bids us contrive and find some ... Again, says Proclus, “some claim that all these
things are alike postulates, in the same way as some maintain that all things that
... 

 books.google.com The Research on the Parallel Axiom Though confidence in Euclidean geometry
as the correct idealization of physical space remained ... The fifthcentury
commentator Proclus was very explicit about his objection to the parallel axiom.
He says ... 

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