Sophia (wisdom)Sophia (σοφία sophía "wisdom") is a central idea in Hellenistic philosophy and religion, Platonism, Gnosticism and Christian theology. Originally carrying a meaning of "cleverness, skill", the later meaning of the term, close to the meaning of Phronesis ("wisdom, intelligence"), was significantly shaped by the term philosophy ("love of wisdom") as used by Plato. In the Orthodox Church and the Catholic Church, the feminine personification of divine wisdom as Holy Wisdom (Ἁγία Σοφία Hagía Sophía) can refer either to Jesus Christ the Word of God (as in the dedication of the church of Hagia Sophia in Constantinople) or to the Holy Spirit.
ConceptA Concept is defined as an abstract idea. It is understood to be a fundamental building block underlying principles, thoughts and beliefs. Concepts play an important role in all aspects of cognition. As such, concepts are studied within such disciplines as linguistics, psychology, and philosophy, and these disciplines are interested in the logical and psychological structure of concepts, and how they are put together to form thoughts and sentences.
Foundations of mathematicsFoundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. In this latter sense, the distinction between foundations of mathematics and philosophy of mathematics turns out to be vague. Foundations of mathematics can be conceived as the study of the basic mathematical concepts (set, function, geometrical figure, number, etc.