To think that you are not following a rule is to follow a rule.

I don't know why we are here, but I'm pretty sure that it is not in order to enjoy ourselves.

If there were a verb meaning "to believe falsely," it would not have any significant first person, present indicative.

The child learns to believe a host of things. I.e. it learns to act according to these beliefs. Bit by bit there forms a system of what is believed, and in that system some things stand unshakeably fast and some are more or less liable to shift. What stands fast does so, not because it is intrinsically obvious or convincing; it is rather held fast by what lies around it.

Proof, one might say, does not merely shew that it is like this, but: how it is like this. It shows how 13+14 yield 27.

Suppose someone follows the series "1,3,5,7, ..", and in writing the series 2x+1; and he asked himself "But am I always doing the same thing, or something different every time?" If from one day to the next someone promises: "Tomorrow I will give up smoking", does he say the same thing every day, or every day something different?

Elementary propositions consist of names.