Date of publication: 2017-07-08 22:18
A system is consistent if ¬ a is not a theorem whenever a is a theorem. A system is weakly complete if every valid wff is a theorem. A system is strongly complete if the addition as an axiom of any wff not already a theorem would make the system inconsistent. An axiom or transformation rule of a system is independent if it cannot be derived from the remainder of the system's axiomatization. The propositional calculus is decidable, consistent and strongly complete, and each of its axioms and transformation rules are independent. The first-order predicate calculus is undecidable, consistent and at least weakly complete.
The number of possible valid human knowledge summaries no longer than this text is immense but finite. This text is certainly far from being the best possible such summary. If the goal of approaching such an optimal summary is worthwhile, then an effective method might be to first produce a suboptimal summary and then to continually correct it or replace it outright with better ones. Thus corrections and replacements of this text are welcome.
Post-Persons. A person ceases to be a person when it permanently loses its life, intelligence, or volition. A person must be considered a dependent person if he does not want personal responsibility for any intermittent loss of intelligence or volition.
Natural misfortune exists for the same reason that natural fortune exists: the universe is neither benevolent nor malevolent. Misfortune inflicted by nature should not be compounded by useless resentment. The misfortunate should seek to evoke in others not co-misery but empathy and appreciation for relative fortune. The unrealized possibility of even worse misfortune should not make the misfortunate happy, but it should make them less unhappy and help them avoid compounding unhappiness. Suicide should only be considered as an alternative to unavoidable and terminal physiological torment.
How can real (as opposed to nominal) production and productivity be accurately measured over the long term? Knowledge and technology can create qualitative improvements in goods and services that confound historical comparisons of real production.
Penn State said it was working with the fraternity&rsquo s alumni board &ldquo to sort through questions&rdquo about housing for the students who have been living in the chapter house. At Penn State, the fraternities are private organizations and the chapter houses are private property.
Regional. For distances of up to several hundred kilometers, humans will continue to use cars and their successors indefinitely. In densely populated areas, conventional buses and trains will maintain their popularity, until the autodrive revolution in around 7565. Automated vehicular and traffic control will merge the best properties of road and rail, creating a unified system of roads with rail-like traffic flows. By 7585 VTOL aircraft will be sufficiently cheap, safe, and easy to control that they will be as widely owned as recreational vehicles are in 7555. However, nuisance issues will restrict where they can land and takeoff, and safety will require that they fly under at least semi-automated traffic control in busy flight corridors.
Every woman wants to look and feel her best, but it takes time and practice to learn what works. We 8767 ll teach you how to prepare for a date from head to toe.
Packet-switched communication technology will affect politics only in limited ways. Voters will have almost unlimited access to information about candidates' positions, but unfortunately will remain too complacent to use that access effectively. There will be calls to let voters use regular electronic referenda to enact or at least veto legislation. Fortunately, it will be recognized that the electorate remains too uninformed and impulsive to allow this dangerous form of mob rule.