It was estimated that more than 80 of the Japanese public watched his races on television.

I need evidence.

Be sure to pass the exams.

I need evidence.

We went about getting evidence of what was going on.

It's so obvious we don't need proof.

We do this, of course, with matters of race, and politics, and everything else, and we do it in science as well. So we look, just look and scientists do it, constantly we look for evidence that reinforces our models, and some folks are just all too able and willing to provide the evidence that reinforces the models.

And this is a word that appears throughout early mathematics, such as this 10th century derivation of proofs.

I've got proof.

We have no proof.

So, these mental models we look for evidence that reinforces our models.

More powerful subsets of second order arithmetic have been given consistency proofs by Gaisi Takeuti and others, and one can again debate about exactly how finitary or constructive these proofs are.

His cynicism dismayed many activists.

But there is scant evidence to support this view.

In the track events, the best cyclist was Frenchman Paul Masson, who won the one lap time trial, the sprint event, and the 10,000 meters.

He went back, there was a few more days of evidence that was heard. At the end of it, he made the judgment that he was going to grant the petition for a retrial.

Athletics The athletics events had the most international field of any of the sports.

Organise your proofs!

Where is the evidence?

This time we have proof.

The overwhelming evidence, though, is that financial competition promotes innovation.

) depend quite essentially on the system to which they are defined Informal usage in proofs Proofs in computability theory often invoke the Church Turing thesis in an informal way to establish the computability of functions while avoiding the (often very long) details which would be involved in a rigorous, formal proof.

And I give lots of evidence.

They demonstrated real leadership.

Surely not before tests and examinations...

There is no corroboration of Armitage's story.

cooperation in the taking of evidence

Tom doesn't like multiple choice exams.

I think exams are ruining education.

There is no evidence that this would significantly boost growth, as Romney claims.

But what you do see is a massive clue...

Three of them were having incomplete proofs.

He gave evidence at the trial.

How were your last exams?

Tom aced all his tests.

Mary aced all her tests.

Most mathematicians in proof theory seem to regard finitary mathematics as being contained in Peano arithmetic, and in this case it is not possible to give finitary proofs of reasonably strong theories.

The accusations against her were probably nothing more than unproven slanders, but the whole experience was very bitter for Pericles.

First, there is evidence that the Syrian opposition has amassed chemical weapons.

You can't accuse him of stealing unless you have proof.

Now, you don't need me to give you too many examples of people synthesizing happiness, I suspect. Though I'm going to show you some experimental evidence, you don't have to look very far for evidence.

A weaker relationship was demonstrated by Kurt Gödel in the proofs of his completeness theorem and incompleteness theorems.

Many maintain that it is easier for digits to be reduced or lost during evolution than the reverse, however there is no evidence for this.

We had four tests on the same day.

Police never had enough proof.