William C. Michael

In Greek Reading II, we will begin the study of the writings of Aristotle. The knowledge of the vocabulary and expressions of Aristotle’s writings will greatly help us in philosophical studies, for which the original texts are written in Greek. To complete the objectives of this lesson, complete the following tasks: Lesson 1 Ὁμώνυμα λέγεται ὧν ὄνομα μόνον κοινόν, ὁ δὲ κατὰ τοὔνομα λόγος τῆς οὐσίας ἕτερος, οἷον ζῷον ὅ τε ἄνθρωπος καὶ τὸ γεγραμμένον. 2a τούτων γὰρ ὄνομα μόνον κοινόν, ὁ δὲ κατὰ τοὔνομα λόγος τῆς οὐσίας ἕτερος: 2b ἂν γάρ τις ἀποδιδῷ τί ἐστιν αὐτῶν ἑκατέρῳ τὸ ζῴῳ … Continue

Hippasus of Metapontum was a Greek philosopher and mathematician who lived in the 5th century BCE. He was a member of the Pythagorean school of thought and is remembered for his contributions to the fields of mathematics and philosophy. Although information about his life is scarce, he is considered to be one of the most important figures of his time. Hippasus was born in southern Italy and was a student of Pythagoras, who was one of the most influential philosophers of ancient Greece. The Pythagoreans were known for their love of mathematics and their belief in the idea that mathematical … Continue

Nicomachus of Gerasa was an ancient Greek mathematician and philosopher who lived in the 1st century AD. He was born in the city of Gerasa, which is now modern-day Jordan. Nicomachus is best known for his mathematical treatise called the “Introduction to Arithmetic,” which was a comprehensive guide to number theory, arithmetic, and music theory. It is this text that we study in the Academy’s Classical Arithmetic course. Nicomachus was heavily influenced by the Pythagorean school of thought, which was focused on mathematics and its connection to the natural world. He believed that mathematics was a way to understand the … Continue

According to Aristotle, Metaphysics is a branch of philosophy that deals with understanding the nature of reality and the universe. It is concerned with questions about existence, causality, time, space, and the nature of change. Aristotle believed that everything in the universe has a purpose and that this purpose can be understood through observation and reason. He argued that objects and events have a cause, and that understanding these causes allows us to better understand the world around us. One of the key concepts in Aristotle’s Metaphysics is substance. Aristotle believed that everything in the universe is made up of … Continue

Among the earliest and most mysterious figures in the history of Western philosophy stands the Greek philosopher Pythagoras. Most commonly known to modern students for the geometric theorem that bears his name, Pythagoras was far more than a mathematician. He was a religious reformer, a teacher of moral philosophy, and a founder of a philosophical school that profoundly influenced the development of ancient and Christian thought. For Catholic parents seeking to understand the history of classical education and its connection to our faith, the life and ideas of Pythagoras offer a fascinating study. In this article, we will explore the … Continue

To complete this lesson, complete the following tasks: 1. Study the lesson below, carefully and completely.2. Read the instructions for translation exercises.3. Complete translation exercises.4. Memorize all lesson vocabulary.5. Work to earn a perfect score on your lesson exam. Lesson 51 Jam autem eo descendente, servi occurrerunt ei, et nuntiaverunt dicentes, quia filius ejus viveret. 52 Interrogabat ergo horam ab eis in qua melius habuerit. Et dixerunt ei: Quia heri hora septima reliquit eum febris. 53 Cognovit ergo pater, quia illa hora erat in qua dixit ei Jesus: Filius tuus vivit; et credidit ipse et domus ejus tota. 54 Hoc iterum … Continue

Compulsory education is a type of education that is required by law. This means that every child must attend school for a certain number of years, usually from the age of five or six until they are 16 or 18. The idea behind compulsory education is to give every child an equal chance to learn and succeed in life. By requiring children to attend school, they can get the education and skills they need to be successful adults. Compulsory education was first introduced in the United States in the 19th century. At that time, many children were working long hours … Continue