The second part of the Laws of Thought contained a corresponding attempt to discover a general method in probabilities, which should enable us from the given probabilities of any system of events to determine the consequent probability of any other event logically connected with the given events.
In fact a little consideration of the theory of probabilities will show it to be infinitely probable that such an object should really have some movement of rotation, no matter by what causes the nebula may have originated.
After all, it is only a question of probabilities, and the difficulties of fitting a wife and child into the story seem to be very great, whether we conceive them left behind by Demetrius in Italy, or sent out of the country before him.
These new probabilities open up considerable possibilities in research with regard to the relations of the early Minoans and other Aegeans with Syria and Egypt and the undoubted fact of the resemblances of Minoan on the one hand to Syrian and Egyptian religions and funerary practices, and on the other hand to those of the Etruscans.
Under the general heading "Algebra and Theory of Numbers" occur the subheadings "Elements of Algebra," with the topics rational polynomials, permutations, &c., partitions, probabilities; "Linear Substitutions," with the topics determinants, &c., linear substitutions, general theory of quantics; "Theory of Algebraic Equations," with the topics existence of roots, separation of and approximation to, theory of Galois, &c. "Theory of Numbers," with the topics congruences, quadratic residues, prime numbers, particular irrational and transcendental numbers.
How would you define probabilities? Add your definition here.