Suppose You Are Allowed to Give Either a Direct Proof

question 191

Essay

Suppose you are allowed to give either a direct proof or a proof by contraposition of the following: if 3n + 5 is even, then n is odd. Which type of proof would be easier to give? Explain why.

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Definitions:

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or otherwise sensed, a concept that develops in infancy.

Conservation

In cognitive development, the understanding that certain properties of objects remain the same, despite changes in the object's appearance.

Egocentrism

A cognitive characteristic in which an individual is unable to differentiate between their own perspective and that of another person.

Affordances

The possibilities for action offered by objects and environments to an organism.