HeraclitusHeraclitus (ˌhɛrəˈklaɪtəs; Ἡράκλειτος ; 500 BC) was an ancient Greek pre-Socratic philosopher from the city of Ephesus, which was then part of the Persian Empire. Little is known of Heraclitus's life. He wrote a single work, only fragments of which have survived. Most of the ancient stories about him are thought to be later fabrications based on interpretations of the preserved fragments. His paradoxical philosophy and appreciation for wordplay and cryptic, oracular epigrams has earned him the epithets "the dark" and "the obscure" since antiquity.
IamblichusIamblichus (aɪˈæmblɪkəs ; Iámblichos; Yamlīḵū; 245-325) was a Syrian neoplatonic philosopher of Arabic origin. He determined a direction later taken by neoplatonism. Iamblichus was also the biographer of the Greek mystic, philosopher, and mathematician Pythagoras. In addition to his philosophical contributions, his Protrepticus is important for the study of the sophists because it preserved about ten pages of an otherwise-unknown sophist known as the Anonymus Iamblichi.
PlotinusPlotinus (plɒˈtaɪnəs; Πλωτῖνος, Plōtînos; 204/5 – 270 CE) was a Hellenistic Platonist philosopher, born and raised in Roman Egypt. Plotinus is regarded by modern scholarship as the founder of Neoplatonism. His teacher was the self-taught philosopher Ammonius Saccas, who belonged to the Platonic tradition. Historians of the 19th century invented the term "neoplatonism" and applied it to refer to Plotinus and his philosophy, which was vastly influential during late antiquity, the Middle Ages, and the Renaissance.
Square numberIn mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 32 and can be written as 3 × 3. The usual notation for the square of a number n is not the product n × n, but the equivalent exponentiation n2, usually pronounced as "n squared". The name square number comes from the name of the shape. The unit of area is defined as the area of a unit square (1 × 1).
ParmenidesParmenides of Elea (pɑːrˈmɛnɪdiːz...ˈɛliə; Παρμενίδης ὁ Ἐλεάτης; fl. late sixth or early fifth century BC) was a pre-Socratic Greek philosopher from Elea in Magna Graecia. Parmenides was born in the Greek colony of Elea, from a wealthy and illustrious family. His dates are uncertain; according to doxographer Diogenes Laërtius, he flourished just before 500 BC, which would put his year of birth near 540 BC, but in the dialogue Parmenides Plato has him visiting Athens at the age of 65, when Socrates was a young man, c.
MathematicianA mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. One of the earliest known mathematicians was Thales of Miletus (624-546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem.
AnaximanderAnaximander (æˌnæksɪˈmændər ; Ἀναξίμανδρος Anaximandros; 610-546 BC) was a pre-Socratic Greek philosopher who lived in Miletus, a city of Ionia (in modern-day Turkey). He belonged to the Milesian school and learned the teachings of his master Thales. He succeeded Thales and became the second master of that school where he counted Anaximenes and, arguably, Pythagoras amongst his pupils. Little of his life and work is known today. According to available historical documents, he is the first philosopher known to have written down his studies, although only one fragment of his work remains.
Proportionality (mathematics)In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio. The ratio is called coefficient of proportionality (or proportionality constant) and its reciprocal is known as constant of normalization (or normalizing constant). Two sequences are inversely proportional if corresponding elements have a constant product, also called the coefficient of proportionality.
Zeno of EleaZeno of Elea (ˈziːnoʊ...ˈɛliə; Ζήνων ὁ Ἐλεᾱ́της; 495-430 BC) was a pre-Socratic Greek philosopher of Magna Graecia (southern Italy) and a member of the Eleatic School founded by Parmenides. Plato and Aristotle called him the inventor of the dialectic. He is best known for his paradoxes. Little is known for certain about Zeno's life. The primary source of biographical information about Zeno is Plato's dialogue Parmenides, which recounts a fictionalized account of a visit that Zeno and Parmenides made to Ancient Athens in 450 BC, at a time when Parmenides is "about 65", Zeno is "nearly 40", and Socrates is "a very young man".
PhiloPhilo of Alexandria (ˈfaɪloʊ; Phílōn; Yəḏīḏyāh (Jedediah); 20 BCE- 50 CE), also called Philo Judaeus, was a Hellenistic Jewish philosopher who lived in Alexandria, in the Roman province of Egypt. The only event in Philo's life that can be decisively dated is his participation in the embassy to Rome in 40 CE; whereby he represented the Alexandrian Jews in a delegation to the Roman Emperor Caligula following civil strife between the Alexandrian Jewish and Greek communities.
