Proof (truth)A proof is sufficient evidence or a sufficient argument for the truth of a proposition. The concept applies in a variety of disciplines, with both the nature of the evidence or justification and the criteria for sufficiency being area-dependent. In the area of oral and written communication such as conversation, dialog, rhetoric, etc., a proof is a persuasive perlocutionary speech act, which demonstrates the truth of a proposition.
Mathematical proofA mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning which establish logical certainty, to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation".
Engram (neuropsychology)An engram is a unit of cognitive information imprinted in a physical substance, theorized to be the means by which memories are stored as biophysical or biochemical changes in the brain or other biological tissue, in response to external stimuli. Demonstrating the existence of, and the exact mechanism and location of, neurologically defined engrams has been a focus of persistent research for many decades. The term "engram" was coined by memory researcher Richard Semon in reference to the physical substrate of memory in the organism.
NeurodiversityNeurodiversity is a proposed framework that argues there is intrinsic diversity in human brain function and cognition, and that certain things currently classified as mental disorders are differences and disabilities but are not necessarily pathological. The framework grew out of the autism rights movement and builds on the social model of disability, arguing that disability partly arises from societal barriers, rather than attributing disability purely to inherent deficits.
Primary care physicianA primary care physician (PCP) is a physician who provides both the first contact for a person with an undiagnosed health concern as well as continuing care of varied medical conditions, not limited by cause, organ system, or diagnosis. The term is primarily used in the United States. In the past, the equivalent term was 'general practitioner' in the US; however in the United Kingdom and other countries the term general practitioner is still used. With the advent of nurses as PCPs, the term PCP has also been expanded to denote primary care providers.
Expressive language disorderExpressive language disorder is one of the "specific developmental disorders of speech and language" recognised by the tenth edition of the International Classification of Diseases (ICD-10). As of the eleventh edition (ICD-11, current 1 January 2022), it is considered to be covered by the various categories of developmental language disorder. Transition to the ICD-11 will take place at a different time in different countries. The condition is a communication disorder in which there are difficulties with verbal and written expression.
Proofs and RefutationsProofs and Refutations: The Logic of Mathematical Discovery is a 1976 book by philosopher Imre Lakatos expounding his view of the progress of mathematics. The book is written as a series of Socratic dialogues involving a group of students who debate the proof of the Euler characteristic defined for the polyhedron. A central theme is that definitions are not carved in stone, but often have to be patched up in the light of later insights, in particular failed proofs. This gives mathematics a somewhat experimental flavour.
