Seven surprising statements =========================== 1. Knowledge consists of true concepts and true propositions. o A concept is true if it has referents in reality; otherwise it is false. o Possible worlds are not possible unless they involve men making choices. See Leonard Peikoff "The Analytic-Synthetic Dichotomy" 2. All knowledge is personal. o Concepts are primarily a thinking tool. o The context of a proposition is the speaker's knowledge. o The speaker chooses his context for a specific purpose. 3. Interpersonal communication permits common knowledge among a group of persons. 4. A personal context is a concept-hierarchy denoted by a view name. o A hierarchy provides unit economy, a logN dependence upon the number of concepts and propositions. 5. The top and bottom concepts in the hierarchy are axiomatic. o The choice of context is the selection of nonaxiomatic concepts between the top and the bottom. 6. A proposition is a concept. o A proposition is a sequence of concepts that denotes a relationship between the concepts. 7. A natural language concept has the same properties as a simple algebraic concept. e.g.: "dog" vs "x" dog do bark x**2 = 4