In logic, a logical connective is a logical constant. They can be used to connect logical formulas. For instance in the syntax of propositional logic, the binary connective can be used to join the two atomic formulas and , rendering the complex formula .
Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power. However, it can also include uses of logic to characterize correct mathematical reasoning or to establish foundations of mathematics.
Alfred Tarski was a Polish-American logician and mathematician. A prolific author best known for his work on model theory, metamathematics, and algebraic logic, he also contributed to abstract algebra, topology, geometry, measure theory, mathematical logic, set theory, and analytic philosophy.
The history of logic deals with the study of the development of the science of valid inference (logic). Formal logics developed in ancient times in India, China, and Greece. Greek methods, particularly Aristotelian logic as found in the Organon, found wide application and acceptance in Western science and mathematics for millennia. The Stoics, especially Chrysippus, began the development of predicate logic.
Educational software is a term used for any computer software which is made for an educational purpose. It encompasses different ranges from language learning software to classroom management software to reference software. The purpose of all this software is to make some part of education more effective and efficient.
Metalogic is the study of the metatheory of logic. Whereas logic studies how logical systems can be used to construct valid and sound arguments, metalogic studies the properties of logical systems. Logic concerns the truths that may be derived using a logical system; metalogic concerns the truths that may be derived about the languages and systems that are used to express truths.
Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1933, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics. Informally, the theorem states that arithmetical truth cannot be defined in arithmetic.
A semantic theory of truth is a theory of truth in the philosophy of language which holds that truth is a property of sentences.
The laws of thought are fundamental axiomatic rules upon which rational discourse itself is often considered to be based. The formulation and clarification of such rules have a long tradition in the history of philosophy and logic. Generally they are taken as laws that guide and underlie everyone's thinking, thoughts, expressions, discussions, etc. However, such classical ideas are often questioned or rejected in more recent developments, such as intuitionistic logic, dialetheism and fuzzy logic.
Idit R. Harel is an Israeli-American entrepreneur and CEO of Globaloria. She is a learning sciences researcher and pioneer of Constructionist learning-based EdTech interventions.
John W. Etchemendy is an American logician and philosopher who served as Stanford University's twelfth Provost. He succeeded John L. Hennessy to the post on September 1, 2000 and stepped down on January 31, 2017.
John Corcoran was an American logician, philosopher, mathematician, and historian of logic. He is best known for his philosophical work on concepts such as the nature of inference, relations between conditions, argument-deduction-proof distinctions, the relationship between logic and epistemology, and the place of proof theory and model theory in logic. Nine of Corcoran's papers have been translated into Spanish, Portuguese, Persian, and Arabic; his 1989 "signature" essay was translated into three languages. Fourteen of his papers have been reprinted; one was reprinted twice.
D2L is a Canada-based global software company with offices in Australia, Brazil, Europe, Singapore, and the United States.
A massive open online course or an open online course is an online course aimed at unlimited participation and open access via the Web. In addition to traditional course materials, such as filmed lectures, readings, and problem sets, many MOOCs provide interactive courses with user forums or social media discussions to support community interactions among students, professors, and teaching assistants (TAs), as well as immediate feedback to quick quizzes and assignments. MOOCs are a widely researched development in distance education, first introduced in 2008, that emerged as a popular mode of learning in 2012, a year called the "Year of the MOOC".
MITx is the massive open online course (MOOC) program at Massachusetts Institute of Technology. A constituent program of MIT's Office of Digital Learning, MITx produces MOOCs from MIT departments and faculty. Prior to 2U's acquisition of edX, MITx courses appeared there. After the acquisition, courses appeared on MIT's own site. MITx also supports residential experiments with scalable learning technologies and research on digital learning. MOOCs offered through edX by MITx are open-enrollment and free to take. In September 2012, edX and MITx introduced the option to receive an ID verified certificate on some courses.
Tarski's World is a computer-based introduction to first-order logic written by Jon Barwise and John Etchemendy. It is named after the mathematical logician Alfred Tarski. The package includes a book, which serves as a textbook and manual, and a computer program which together serve as an introduction to the semantics of logic through games in which simple, three-dimensional worlds are populated with various geometric figures and these are used to test the truth or falsehood of first-order logic sentences. The program is also included in Language, Proof and Logic package.
openHPI is a platform for massive open online courses (MOOC) in the field of computer science and information technology. It is hosted at the Hasso Plattner Institute (HPI) in Potsdam, Germany. openHPI is open to everyone, and participation is free of charge. Everybody can register and enroll for courses without any prerequisites. openHPI's courses are derived from HPI's bachelor and master programs in IT-Systems Engineering and cover both, foundations of information technology as well as highly topical innovations.
openSAP is an Enterprise MOOC platform for massive open online courses, or MOOCs. It is provided by SAP and hosted at the Hasso Plattner Institute in Potsdam, Germany. Everyone can enroll in openSAP courses, which are provided free of charge.
Language MOOCs are web-based online courses freely accessible for a limited period of time, created for those interested in developing their skills in a foreign language. As Sokolik (2014) states, enrolment is large, free and not restricted to students by age or geographic location. They have to follow the format of a course, i.e., include a syllabus and schedule and offer the guidance of one or several instructors. The MOOCs are not so new, since courses with such characteristics had been available online for quite a lot of time before Dave Cormier coined the term 'MOOC' in 2008. Furthermore, MOOCs are generally regarded as the natural evolution of OERs, which are freely accessible materials used in Education for teaching, learning and assessment.
