This volume develops a theory of meaning and a semantics for both mathematical and empirical sentences inspired to Chomsky’s internalism, namely to a view of semantics as the study of the relations of language not with external reality but with internal, or mental, reality. In the first part a theoretical notion of justification for a sentence A is defined, by induction on the complexity of A; intuitively, justifications are conceived as cognitive states of a particular kind. The main source of inspiration for this part is Heyting’s explanation of the intuitionistic meaning of logical...

Evangelista Torricelli exemplifies the use the moderns made of the ancients' mathematical methods. Celebrating Evangelista Torricelli's monumental Opera geometrica, this book marks 380 years since its publication (1644-2024). This homage to Torricelli introduces the magnificent major work in Mechanics and Mathematics of a brilliant Archimedean–and–Galilean scientist to modern readers.

Opera geometrica deals with Motion & Mechanics and Geometry & Infinitesimals. In quibus Archimedis doctrina Torricelli also presents his mechanical principle...

The volume offers a lively and wide-ranging debate on the major questions of perceptual epistemology, including how perceptual experiences can bestow positive epistemic standing to empirical judgments and beliefs; the relative epistemic import of veridical and non-veridical perceptual experiences; the relation between experience and knowledge; and the nature of experience in view of its epistemic linkages to discursive contents. 

The volume is centered around five cutting-edge essays by leading authors in these areas—Anil Gupta, Andrea Kern, Christopher Peacocke, Susanna...