'Non-existence cannot be proven. 'I believe it is routinely done...

'Non-existence cannot be proven. '

I believe it is routinely done in maths.

"Example 1: Mathematical Statement: If we wish to convey that there's no real number x� such" that x2=−1�2=−1, it can be notated as:∄ x� in ℝ : x2=−1�2=−1. In this instance, the statement is true because the square of any real number cannot be negative."

I believe that when I die I shall rot, and nothing of my ego will survive. I am not young and I love life. But I should scorn to shiver with terror at the thought of annihilation. Happiness is nonetheless true happiness because it must come to an end, nor do thought and love lose their value because they are not everlasting. Many a man has borne himself proudly on the scaffold; surely the same pride should teach us to think truly about man's place in the world. Even if the open windows of science at first make us shiver after the cosy indoor warmth of traditional humanizing myths, in the end the fresh air brings vigour, and the great spaces have a splendour of their own.

B. Russell