Text: however, they may perceive things now hidden from me, and, above all, they will find that it was all necessary to the state of affairs in which they find themselves (and that, in the case of historians, is usually a comfortable one).

Correct capitalization: However, they may perceive things now hidden from me, and, above all, they will find that it was all necessary to the state of affairs in which they find themselves (and that, in the case of historians, is usually a comfortable one).

Text: in seconds, you will learn exactly what type of ptm file you have, the software program associated with your file, the publisher who created it, its security safety status, and a variety of other useful information.

Correct capitalization: In seconds, you will learn exactly what type of PTM file you have, the software program associated with your file, the publisher who created it, its security safety status, and a variety of other useful information.

Text: it states that if a theory within first-order predicate calculus has a model then it has a countable model.

Correct capitalization: It states that if a theory within first-order predicate calculus has a model then it has a countable model.

Text: it is because of the solar energy that there is life on earth. without the heat from the sun, the earth would be a cold place and it is solar energy that drives photosynthesis.

Correct capitalization:
It is because of the solar energy that there is life on Earth. Without the heat from the sun, the earth would be a cold place and it is solar energy that drives photosynthesis.