Bernard Bolzano: Philosophy of Mathematical Knowledge In Bernard Bolzano’s theory of mathematical knowledge, properties such as analyticity and logical consequence are defined on the basis of a substitutional procedure that comes with a conception of logical form that prefigured contemporary treatments such as those of Quine and Tarski. Three results are particularly interesting: the elaboration of a calculus of probability, the definition of (narrow and

Truthmaker Theory Truthmaker theory is the branch of metaphysics that explores the relationships between what is true and what exists. Discussions of truthmakers and truthmaking typically start with the idea that truth depends on being, and not vice versa. For example, if the sentence ‘Kangaroos live in Australia’ is true, then there are kangaroos living in Australia. And if there are kangaroos living in Australia,

African Sage Philosophy The Sage Philosophy Project began in the mid-1970s at the Department of Philosophy of the University of Nairobi Kenya. At the University, Henry Odera Oruka (1944-1995) popularized the term “Sage Philosophy Project,” and closely related terms such as “philosophic sagacity,” both by initiating a project of interviewing African sages, and by naming this project in a widely read popular article as the

The KK (Knowing that One Knows) Principle In its simplest form, the KK principle says that, for any proposition p, if one knows that p, then one knows that one knows it. More complex formulations say that if one knows that p, then one is in a position to know that one knows it, and this is fleshed out in a variety of ways. One

Novalis (Georg Philipp Friedrich von Hardenberg) (1772-1801) “Novalis” was the pseudonym of Georg Philipp Friedrich Freiherr von Hardenberg, an early German Romantic philosopher, poet, and novelist. Born into a Pietistic family of minor, slightly cash-strapped, Saxon nobility in 1772, he died of tuberculosis in 1801 at the age of 28. Novalis is sometimes seen as the paradigmatic figure of German Romanticism: His early death, the

Luck Winning a lottery, being hit by a stray bullet, or surviving a plane crash, all are instances of a mundane phenomenon: luck. Mundane as it is, the concept of luck nonetheless plays a pivotal role in central areas of philosophy, either because it is the key element of widespread philosophical theses or because it gives rise to challenging puzzles. For example, a common claim