Euclid

Question 1

Widely thought to be the first systematizer of geometry

Answer 1

Euclid

Question 2

comprehensive system that wove the various bits of knowledge together into a single framework

Answer 2

Euclidean Geometry

Question 3

From 5 postulates (axioms), one can derive all the known geometrical propositions using deductive logic alone (He axiomatized geometry)

Answer 3

Euclidean Geometry (2)

Question 4

to draw a straight line from any point to any point

Answer 4

Postulate (1)

Question 5

to produce a finite straight line continuously in a straight line

Answer 5

Postulate (2)

Question 6

to describe a circle with any center and radius

Answer 6

Postulate (3)

Question 7

that, if a straight line falling on two straight lines makes the interior angles on the side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles

Answer 7

Postulate (4)

Question 8

basic postulates are seemingly trivial and impossible to deny is pretty much the point; the system is complete, simple, and certain

Answer 8

Geometry

Question 9

Is this theory logically consistent? Does it accurately describe the world?

Answer 9

Two Questions about Euclid Geometry

Question 10

Attempted to show Euclid’s theory couldn’t serve as a model of space for it entails absurdities

Answer 10

Zeno

Question 11

No length can be crossed in a finite time

Answer 11

Motion is Impossible!

Question 12

There is a difference between having in infinite number of parts and being infinitely large

Answer 12

Aristotle

Question 13

1/2, 1/2 + 1/4, 1/2 + 1/4, 1/8

Answer 13

The Zeno Sequence

Question 14

a series in which there is a constant ration between any two successive terms

Answer 14

A Geometric Series

Question 15

the sum of an infinite sequence is the limit of the sequence of terms; if there is one

Answer 15

Converging Series