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Geometry.

Though some enjoyed the subject, many did not.

Why?

Proofs.

almost uncountable number of incorrect ways. And unless one possesses a knack for figuring out one of the correct ways, immeasurable amounts of time can be spent wading through all the incorrect ways.

That highlights a key dichotomy of deductive logic. On one head, deductive logic - and geometric proofs involve considerable amounts of deductive logic - requires exact and proper steps. This need for proper steps creates the commonly-encountered difficulty of geometry, i.e. finding and constructing that intricate succession of valid steps.

But, on the other hand, once that sequence is built, the reward becomes truth. A properly constructed deductive proof stands as true, guaranteed.

One proviso exists, however, an important one. The conclusions of a proper deductive proof stand as true only if the starting axioms, definitions and/or postulates are true.

Thus, deductive logic entails starting with axioms, definitions and/or postulates that we assume, hold or judge as true, and using them in proper proofs to develop new truths.

Proper, and Improper, Deductive Sequences

What then illustrates proper deductive logic? Consider the following, fairly simple:

· Earl plays basketball

· Basketball is a sport

· Earl plays a sport

The first two statements provide our initial postulates, and the third statement is our conclusion, our new truth so to speak. Let's consider another example, of a more scientific nature.

· Earl possess mass

· Mass bends space-time

· Earl bends space-time

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