24 Facts About Bernard Bolzano

1.

Bernard Bolzano was a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian extraction, known for his liberal views.

2.

Bernard Bolzano's father, Bernard Pompeius Bolzano, was an Italian who had moved to Prague, where he married Maria Cecilia Maurer who came from Prague's German-speaking family Maurer.

3.

Bernard Bolzano was appointed to the new chair of philosophy of religion at Prague University in 1805.

4.

Bernard Bolzano proved to be a popular lecturer not only in religion but in philosophy, and he was elected Dean of the Philosophical Faculty in 1818.

5.

Bernard Bolzano alienated many faculty and church leaders with his teachings of the social waste of militarism and the needlessness of war.

6.

Bernard Bolzano urged a total reform of the educational, social and economic systems that would direct the nation's interests toward peace rather than toward armed conflict between nations.

7.

Bernard Bolzano was the first to recognize the greatest lower bound property of the real numbers.

8.

Bernard Bolzano gave the first purely analytic proof of the fundamental theorem of algebra, which had originally been proven by Gauss from geometrical considerations.

9.

Bernard Bolzano gave the first purely analytic proof of the intermediate value theorem.

10.

Bernard Bolzano's posthumously published work Paradoxien des Unendlichen was greatly admired by many of the eminent logicians who came after him, including Charles Sanders Peirce, Georg Cantor, and Richard Dedekind.

11.

The logical theory that Bernard Bolzano developed in this work has come to be acknowledged as ground-breaking.

12.

Bernard Bolzano did valuable work in mathematics, which remained virtually unknown until Otto Stolz rediscovered many of his lost journal articles and republished them in 1881.

13.

Bernard Bolzano begins his work by explaining what he means by theory of science, and the relation between our knowledge, truths and sciences.

14.

Such a collection of truths is what Bernard Bolzano calls a science.

15.

Bernard Bolzano devotes a great part of the Wissenschaftslehre to an explanation of these realms and their relations.

16.

Bernard Bolzano first introduces the notions of proposition and idea.

17.

Bernard Bolzano uses object to denote something that is represented by an idea.

18.

Bernard Bolzano has a complex theory of how we are able to sense things.

19.

Bernard Bolzano explains sensation by means of the term intuition, in German called Anschauung.

20.

Bernard Bolzano reduces existential propositions to this form: "Socrates exists" would simply become "Socrates has existence ".

21.

Besides the relation of deducibility, Bernard Bolzano has a stricter relation of 'grounding'.

22.

Bernard Bolzano offers as the correct definition of truth: a proposition is true if it expresses something that applies to its object.

23.

Bernard Bolzano maintains that there are no such things as false cognitions, only false judgments.

24.

Bernard Bolzano came to be surrounded by a circle of friends and pupils who spread his thoughts about, but the effect of his thought on philosophy initially seemed destined to be slight.