Writings during the lifetime of Jesus?

[Zen Badger]

Look around your house, do you see any evidence that an elephant is in it?

In the absence of such evidence what conclusion would you draw?

The difference with your "example" is that I can observe all parts of my house.
If you can say the same thing about the entirety of the world, you might have a point.

Irrelevant, Until you have evidence of an event you cannot claim it has actually happened.

If I claim that a ufo has landed in my backyard would you accept that claim or demand proof.

Do you need to know my backyard in order to be sceptical?

Or will you accept my claim without question.

BTW it is a telling point that not even the Catholic church can come up with evidence of JC's existence.