Gottfried Wilhelm Leibniz (sometimes von Leibniz) (German pronunciation: [ˈɡɔtfʁiːt ˈvɪlhɛlm fɔn ˈlaɪpnɪts] (July 1, 1646 - June 21, 1716) was a German The German people are people descended from several Germanic tribes that inhabited what became the German-speaking part of Europe, collectively known as Germany mathematician A mathematician is a person whose primary area of study or research, or both, is the field of mathematics. Mathematicians are concerned with particular problems related to logic, space, transformations, numbers and more general ideas which encompass these concepts. Some notable mathematicians include Sir Isaac Newton, Muhammad ibn Mūsā al-Khwā and philosopher Philosophy is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language. It is distinguished from other ways of addressing fundamental questions by its critical, generally systematic approach and its reliance on rational argument. The word "philosophy" comes from the. He wrote primarily in Latin Latin or sometimes Roman is an Italic language originally spoken in Latium and Ancient Rome. Although often considered a dead language, in view of the fact that it has no native speakers, a small number of scholars can fluently speak it and it continues to be taught in schools and universities and has been, and currently is, used in the process of and French French is a Romance language spoken as a first language by about 136 million people worldwide. Around 190 million people speak French as a second language, and an additional 200 million speak it as an acquired foreign language. French speaking communities are present in 57 countries and territories. Most native speakers of the language live in.
Leibniz occupies a prominent place in the history of mathematics The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past and the history of philosophy The history of philosophy is the study of philosophical ideas and concepts through time. Issues specifically related to history of philosophy might include : How can changes in philosophy be accounted for historically? What drives the development of thought in its historical context? To what degree can philosophical texts from prior historical. Leibniz developed the infinitesimal calculus Infinitesimal calculus was independently invented by both Leibniz and Newton in the 1660s, drawing on the work of such mathematicians as Barrow and Descartes. It consisted of differential calculus and integral calculus, used for the techniques of differentiation and integration respectively independently of Isaac Newton Sir Isaac Newton FRS was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian who is considered by many scholars and members of the general public to be one of the most influential men in human history. His 1687 publication of the Philosophiæ Naturalis Principia Mathematica (usually called the Principia), and Leibniz's mathematical notation In calculus, Leibniz's notation, named in honor of the 17th-century German philosopher and mathematician Gottfried Wilhelm Leibniz, uses the symbols dx and dy to represent "infinitely small" increments of x and y, just as Δx and Δy represent finite increments of x and y. For y as a function of x, or has been widely used ever since it was published. Leibniz also developed the binary number system, which is at the foundation of virtually all digital computers A computer is a machine that manipulates data according to a set of instructions.
In philosophy, Leibniz is mostly noted for his optimism, e.g. his conclusion that our Universe The universe is commonly defined as the totality of everything that exists, including all physical matter and energy, the planets, stars, galaxies, and the contents of intergalactic space, although this usage may differ with the context . The term universe may be used in slightly different contextual senses, denoting such concepts as the cosmos, is, in a restricted sense, the best possible one that God God is the English name given to the singular omnipotent being in theistic and deistic religions who is either the sole deity in monotheism, or a single deity in polytheism could have created. Leibniz, along with René Descartes René Descartes , (31 March 1596 – 11 February 1650), also known as Renatus Cartesius (Latinized form; adjectival form: "Cartesian"), was a French philosopher, mathematician, physicist, and writer who spent most of his adult life in the Dutch Republic. He has been dubbed the "Father of Modern Philosophy", and much of and Baruch Spinoza Baruch or Benedict de Spinoza (November 24, 1632 – February 21, 1677) was a Dutch philosopher of Portuguese Jewish origin. Revealing considerable scientific aptitude, the breadth and importance of Spinoza's work was not fully realized until years after his death. Today, he is considered one of the great rationalists of 17th-century philosophy,, was one of the three great 17th Century The 17th century was the century which lasted from 1601 to 1700 in the Gregorian calendar advocates of rationalism In epistemology and in its modern sense, rationalism is "any view appealing to reason as a source of knowledge or justification" . In more technical terms it is a method or a theory "in which the criterion of the truth is not sensory but intellectual and deductive" (Bourke 263). Different degrees of emphasis on this method or. The work of Leibniz also anticipated modern logic Logic is the study of arguments. Logic is used in most intellectual activities, but is studied primarily in the disciplines of philosophy, mathematics, and computer science. Logic examines general forms which arguments may take, which forms are valid, and which are fallacies. It is one kind of critical thinking. In philosophy, the study of logic and analytic philosophy Analytic philosophy is a generic term for a style of philosophy that came to dominate English-speaking countries in the 20th century. In the United States, United Kingdom, Canada, Scandinavia, Australia, and New Zealand, the overwhelming majority of university philosophy departments identify themselves as "analytic" departments. Analytic, but his philosophy also looks back to the scholastic Both an outgrowth and a departure from Christian monastic schools, European scholasticism was both a method of learning taught by the academics of medieval universities circa 1100–1500, and a program of employing that method in articulating and defending orthodoxy in an increasingly pluralistic context tradition, in which conclusions are produced by applying reason to first principles or a priori definitions rather than to empirical evidence. Leibniz also made major contributions to physics Physics is a natural science that involves the study of matter and its motion through space-time, as well as all applicable concepts, including energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves and technology Technology is the usage and knowledge of tools, techniques, crafts, systems or methods of organization. The word technology comes from the Greek technología — téchnē (τέχνη), an 'art', 'skill' or 'craft' and -logía (-λογία), the study of something, or the branch of knowledge of a discipline. The term can either be applied generally, and anticipated notions that surfaced much later in biology Biology is a natural science concerned with the study of life and living organisms, including their structure, function, growth, origin, evolution, distribution, and taxonomy, medicine Medicine is the science and art of healing humans. It includes a variety of health care practices evolved to maintain and restore health by the prevention and treatment of illness. Before scientific medicine, healing arts were practiced along with alchemical and ritual practices that developed out of religious and cultural traditions. The term &, geology Geology is the science and study of the physical matter and energy that constitute the Earth. The field of geology encompasses the study of the composition, structure, properties, and history of the planet's physical material, the processes by which it is formed, moved, and changed, the history of life on Earth, and human interactions with the, probability theory Probability theory is the branch of mathematics concerned with analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single occurrences or evolve over time in an apparently random, psychology Psychology is the study of human or animal mental functions and behaviors. In this field, a professional practitioner or researcher is a psychologist. Psychologists are classified as social or behavioral scientists. Psychological research can be considered either basic or applied. Psychologists attempt to understand the role of mental functions in, linguistics Linguistics is the scientific study of natural language. Linguistics encompasses a number of sub-fields. An important topical division is between the study of language structure and the study of meaning (semantics and pragmatics). Grammar encompasses morphology (the formation and composition of words), syntax (the rules that determine how words, and information science Information science is an interdisciplinary science primarily concerned with the analysis, collection, classification, manipulation, storage, retrieval and dissemination of information. Practitioners within the field study the application and usage of knowledge in organizations, along with the interaction between people, organizations and any. Leibniz also wrote works on politics Politics , is a process by which groups of people make collective decisions. The term is generally applied to behavior within civil governments, but politics has been observed in other group interactions, including corporate, academic, and religious institutions. It consists of "social relations involving authority or power" and refers, law Law is a system of rules, usually enforced through a set of institutions. Laws can shape or reflect politics, economics and society in numerous ways and serves as a primary social mediator of relations between people, ethics Ethics is a branch of philosophy that addresses questions about morality — that is, concepts such as good and evil, right and wrong, justice, virtue, etc, theology Theology is the study of a god or, more generally, the study of religious faith, practice, and experience, or of spirituality, history History is the study of the human past. Scholars who write about history are called historians. It is a field of research which uses a narrative to examine and analyse the sequence of events, and it sometimes attempts to investigate objectively the patterns of cause and effect that determine events. Historians debate the nature of history and its, philosophy Philosophy is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language. It is distinguished from other ways of addressing fundamental questions by its critical, generally systematic approach and its reliance on rational argument. The word "philosophy" comes from the, and philology Philology is the humanistic study of historical linguistics, considering both form and meaning in linguistic expression, combining linguistics and literary studies. Leibniz's contributions to this vast array of subjects were scattered in various learned journals An academic journal is a peer-reviewed periodical in which scholarship relating to a particular academic discipline is published. Academic journals serve as forums for the introduction and presentation for scrutiny of new research, and the critique of existing research. Content typically takes the form of articles presenting original research,, in tens of thousands of letters, and in unpublished manuscripts. As of 2010, there is no complete gathering of the writings of Leibniz.[1]
The collection of manuscript papers of Leibniz at the Gottfried Wilhelm Leibniz Bibliothek - Niedersächische Landesbibliothek were inscribed on UNESCO The United Nations Educational, Scientific and Cultural Organization is a specialized agency of the United Nations established on 16 November 1945. Its stated purpose is to contribute to peace and security by promoting international collaboration through education, science, and culture in order to further universal respect for justice, the rule of’s Memory of the World Register in 2007.[2]
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Biography
Early life
Gottfried Leibniz was born on July 1, 1646 in Leipzig Leipzig (German pronunciation: [ˈlaɪptsɪç] , also called Leipsic in English; Upper Sorbian: Lipsk) is, with a population of appr. 517,000, the second largest city in the federal state of Saxony, Germany and in the new states of Germany. In the 17th century, Leipzig was one of the major European city-centres of learning and culture in fields, Saxony The Free State of Saxony is a state of Germany, located in the southeastern part of present-day Germany. It is the tenth-largest German state in area (18,413 km²) and the sixth largest in population (4.3 million), of Germany's sixteen states, to Friedrich Leibniz and Catherina Schmuck. Leibniz's father, who was of Sorbian Sorbs are a Western Slavic people of Central Europe living predominantly in Lusatia, a region on the territory of Germany and Poland. In Germany they live in the states of Brandenburg and Saxony. They speak the Sorbian languages (Wendish, Lusatian), closely related to Polish, Kashubian, Czech and Slovak and officially recognized and protected as ancestry,[3][4] died when he was six years old, and from that point on, he was raised by his mother. Her teachings influenced Leibniz's philosophical thoughts Philosophy is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language. It is distinguished from other ways of addressing fundamental questions by its critical, generally systematic approach and its reliance on rational argument. The word "philosophy" comes from the in his later life.
Leibniz's father, Friedrich Leibniz, had been a Professor A professor is a type of senior teacher; the precise meaning of the word varies by country. Literally, professor is Latin for a "person who professes to be an expert in some art or science, teacher of high rank". In most English-speaking nations professor is the title only of a senior academic who holds a departmental chair , or a of Moral Philosophy at the University of Leipzig The University of Leipzig , located in Leipzig in the Free State of Saxony, Germany, is one of the oldest universities in Europe and the second-oldest university (by consecutive years of existence) in Germany. It has a long tradition of globally oriented and culturally comparative historical research and tertiary-level teaching, so Leibniz inherited his father's personal library. He was given free access to this from the age of seven and thereafter. While Leibniz's schoolwork focused on a small canon of authorities, his father's library enabled him to study a wide variety of advanced philosophical and theological works - ones that he would not have otherwise been able to read until his college years.[citation needed] Access to his father's library, largely written in Latin, also lead to his proficiency of the Latin language. Leibniz was proficient in Latin by the age of 12, and he composed three hundred hexameters of Latin verse in a single morning for a special event at school at the age of 13.[citation needed]
Leibniz enrolled in his father's former university at age 14, and he completed his bachelor's degree A bachelor's degree is usually an academic degree awarded for an undergraduate course or major that generally lasts for four years, but can range from two to six years depending on the region of the world. It may also be the name of a "postgraduate" degree, such as a Bachelor of Civil Law, the Bachelor of Music, or the Bachelor of in philosophy in December of 1662. He defended his Disputatio Metaphysica de Principio Individui, which addressed the Principle of individuation The Principle of Individuation is a criterion which supposedly individuates or numerically distinguishes the members of the kind for which it is given, i.e. by which we can supposedly determine, regarding any kind of thing, when we have more than one of them or not. It is also known as a 'criterion of identity' or 'indiscernibility principle'. The, on June 9, 1663. Leibniz earned his master's degree A master's degree is an academic degree granted to individuals who have undergone study demonstrating a mastery or high-order overview of a specific field of study or area of professional practice. Within the area studied, graduates possess advanced knowledge of a specialized body of theoretical and applied topics; high order skills in analysis, in philosophy on February 7, 1664. He published and defended a dissertation Specimen Quaestionum Philosophicarum ex Jure collectarum, arguing for both a theoretical and a pedagogical relationship between philosophy and Law Law is a system of rules, usually enforced through a set of institutions. Laws can shape or reflect politics, economics and society in numerous ways and serves as a primary social mediator of relations between people, in December 1664. After one year of legal studies, he was awarded his bachelor's degree in Law on 28 September 1665.[citation needed]
In 1666, (at age 20), Leibniz published his first book, On the Art of Combinations, the first part of which was also his habilitation Habilitation is the highest academic qualification a person can achieve by his or her own pursuit in certain European and Asian countries. Earned after obtaining a research doctorate, the habilitation requires the candidate to write a professorial thesis based on independent scholarly accomplishments, reviewed by and defended before an academic thesis in philosophy. His next goal was to earn his license and doctorate in Law, which normally required three years of study then. Older students in the law school blocked his early graduation plans, prompting Leibniz to leave Leipzig in disgust in September of 1666.[citation needed]
Leibniz then enrolled in the University of Altdorf, and almost immediately he submitted a thesis, which he had probably been working on earlier in Leipzig. The title of his thesis was Disputatio de Casibus perplexis in Jure. Leibniz earned his license to practice law and his Doctorate in Law in November of 1666. He next declined the offer of an academic appointment at Altdorf, and he spent the rest of his life in the paid service of two main German families of nobleman.[citation needed]
As an adult, Leibniz often introduced himself as "Gottfied von Leibniz". Also many posthumously-published editions of his writings presented his name on the title page as "Freiherr The German titles Freiherr and Freifrau and Freiin (Baroness) are titles of nobility, used preceding the names of people, or later (after 1919), before family names. They are titles of lower peerage rank in the former Holy Roman Empire (in German Heiliges Römisches Reich, HRR), and in its various German successor states, including Prussia, G. W. von Leibniz." However, no document has ever been found from any contemporary govenment that stated his appointment to any form of nobility.[5]
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