Text: let me speak a bit about remote viewing.

Correct capitalization: Let me speak a bit about remote viewing.

Text: taught by a private tutor, probably until 1909.

Correct capitalization: Taught by a private tutor, probably until 1909.

Text: one such survey appeared as a two-part paper a glance at graph theory published in the bulletin of the london mathematical society.

Correct capitalization: One such survey appeared as a two-part paper A glance at graph theory published in the Bulletin of the London Mathematical Society.

Text: these tests will reveal very valuable information for the initial diagnosis.

Correct capitalization:
These tests will reveal very valuable information for the initial diagnosis.