"This statement, of course, makes no sense," said Redmond, "because of one of the definitions of infinity—which is that number which is larger than the number of all numbers. Here we treat infinity as a definite instead of an abstract, and by our equations we are permitted to multiply infinity by integer numbers and come up with a real answer—in a sort of abstract sense," said Redmond with a slight laugh. It was 'Our Equations' now instead of 'Maculay's Equations'.


Hanson continued to nod and Redmond kept watching the spot on the Doctor's glasses.

"However," said Redmond, "the fact is that the power output does not exceed infinity at any time in this space. Not really, and therefore the paradox is answered. It is merely apparent, if you follow me. Actually, the spacecraft is not in real space and therefore it need not have an infinite amount of energy to reach the speed of light. However, there is no way of anchoring the generator on the planet while testing, nor of dissipating the energy. So the only way to test the set-up is to build a spacecraft and take off. If it does not work, we have the standard drivers to get us back."

Hanson kept on nodding. His neck was getting a bit stiff, but he could not stop.

"I've heard the argument that the generators may set up a self-propagating field," said Redmond. "This is so much bosh. The theory that the streak of energy that went through the solar system some weeks ago was the wake of a supervelocity spacecraft seems to be universal among the people who have studied the Equations. Ergo it stands to reason that no destruction of the universe will obtain. We are safe."

Hanson continued to nod.

Redmond smiled quietly.

The doctor said, "You've been working quite hard on this; you must be tired."

Redmond laughed sarcastically. "You've been working harder, Doc. If you've been expecting me to fall under your hypnotic spell with that head-bobbing business, you're getting a stiff neck and no results. You're an old fool with an unfounded horror of anything new. You should view this sensibly; if another race can employ the spacedrive without ruining the universe, so can we. Now why not let busy men alone to work, while you go back to your mental cripples? Good day!"