What is a Function?

Abstract

The concept of a function is fundamental in mathematics. We already met this concept in the context of the Dinner Soup model, where the total cost was 15x (dollars) if the amount of beef was x (pounds). For every amount of beef x, there is a corresponding total cost 15x. We say that the total cost 15x is a function of, or depends on, the amount of beef x.

He who loves practice without theory is like the sailor who boards ship without rudder and compass and never knows where he may cast. (Leonardo da Vinci)

All Bibles or sacred codes have been the causes of the following Errors:

1. That Man has two real existing principles, Viz: a Body & a Soul.

2. That Energy, call’d Evil, is alone from the Body; & that Reason, call’d Good, is alone from the Soul.

3. That God will torment Man in Eternity for following his Energies. But the following Contraries to these are True:

1. Man has no Body distinct from his Soul; for that call’d Body is a portion of Soul discern’d by the five Senses, the chief inlets of Soul in this age.

2. Energy is the only life and is from the Body: and Reason is the bound or outward circumference of Energy.

3. Energy is Eternal Delight. (William Blake 1757-1827)