- published: 14 Jun 2013
- views: 981
In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the name suggests, generally very "large" (for example, bigger than the least α such that α=ωα). The proposition that such cardinals exist cannot be proved in the most common axiomatization of set theory, namely ZFC, and such propositions can be viewed as ways of measuring how "much", beyond ZFC, one needs to assume to be able to prove certain desired results. In other words, they can be seen, in Dana Scott's phrase, as quantifying the fact "that if you want more you have to assume more".
There is a rough convention that results provable from ZFC alone may be stated without hypotheses, but that if the proof requires other assumptions (such as the existence of large cardinals), these should be stated. Whether this is simply a linguistic convention, or something more, is a controversial point among distinct philosophical schools (see Motivations and epistemic status below).
Large means of great size.
Large may also refer to:
Cardinal or The Cardinal may refer to:
A disease is a particular abnormal condition, a disorder of a structure or function, that affects part or all of an organism. The causal study of disease is called pathology. Disease is often construed as a medical condition associated with specific symptoms and signs. It may be caused by factors originally from an external source, such as infectious disease, or it may be caused by internal dysfunctions, such as autoimmune diseases. In humans, "disease" is often used more broadly to refer to any condition that causes pain, dysfunction, distress, social problems, or death to the person afflicted, or similar problems for those in contact with the person. In this broader sense, it sometimes includes injuries, disabilities, disorders, syndromes, infections, isolated symptoms, deviant behaviors, and atypical variations of structure and function, while in other contexts and for other purposes these may be considered distinguishable categories. Diseases usually affect people not only physically, but also emotionally, as contracting and living with a disease can alter one's perspective on life, and one's personality.
Grey hornbill may refer to one of several distinct species of hornbills:
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La Porte Tool Box presents,.....Tool of the Week (week 35) Glove From Wikipedia, the free encyclopedia A glove (Middle English from Old English glof) is a garment covering the whole hand. Gloves have separate sheaths or openings for each finger and the thumb; if there is an opening but no covering sheath for each finger they are called "fingerless gloves". Fingerless gloves with one large opening rather than individual openings for each finger are sometimes called gauntlets. Gloves protect and comfort hands against cold or heat, damage by friction, abrasion or chemicals, and disease; or in turn to provide a guard for what a bare hand should not touch. Latex, nitrile rubber or vinyl disposable gloves are often worn by health care professionals as hygiene and contamination protection measu...
Whether it's performance cars or giant SUVs, the press preview of the New York Auto Show opens Wednesday with a mix of vehicles that reflect the times -- low gas prices and higher consumer confidence. A bevy of automakers are rolling out large, mostly pricey SUVs aimed at families that care more about having enough space inside for vacations rather than what they will pay at the pump. And the good times will extend to the performance car market. Nissan will show its next-generation GT-R super car while Chevrolet is getting ready to unveil the next-generation Camaro ZL1. The New York show is known as the best place for luxury automakers to showcase luxury cars in the U.S. Audi, BMW, Mercedes-Benz and Jaguar Land Rover hope to make a big splash. BMW, for instance, will have a high-powere...
Some argue that religious life is the best way to live. They claim life without a god is sad and depressing. Statements like "I could not imagine my life without God", and "My life would be meaningless without God", are common defenses for a religious life. The following is a list of advantages atheists enjoy over a religious life. I invite the religious viewers to submit a response video with the advantages of a religious life. Atheists can make moral decisions based on the specific context. Having absolutes like "Though Shall not Lie" stops people from thinking for themselves and making the right decision based on the situation at hand. In what situation would be okay to lie? Most religious people would say, never. Atheists would disagree. For example: If you were living in Germany hi...
What is TOXICITY? What does TOXICITY mean? TOXICITY meaning -TOXICITY pronunciation - TOXICITY definition - TOXICITY explanation - How to pronounce TOXICITY? Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license. Toxicity is the degree to which a substance can damage an organism. Toxicity can refer to the effect on a whole organism, such as an animal, bacterium, or plant, as well as the effect on a substructure of the organism, such as a cell (cytotoxicity) or an organ such as the liver (hepatotoxicity). By extension, the word may be metaphorically used to describe toxic effects on larger and more complex groups, such as the family unit or society at large. A central concept of toxicology is that effects are dose-dependent; even water can l...
Click here to receive the latest news: http://smarturl.it/RomeReports Visit or website to learn more: http://www.romereports.com/ On the last Sunday of January, the date is celebrated to raise awareness about the illness. --------------------- ROME REPORTS, www.romereports.com, is an independent international TV News Agency based in Rome covering the activity of the Pope, the life of the Vatican and current social, cultural and religious debates. Reporting on the Catholic Church requires proximity to the source, in-depth knowledge of the Institution, and a high standard of creativity and technical excellence. As few broadcasters have a permanent correspondent in Rome, ROME REPORTS is geared to inform the public and meet the needs of television broadcasting companies around the world th...
InstaBone(TM) is a unique biomaterial based on calcium and phosphate nanoparticles that is suitable for use as a bone void filler and bone putty and has important applications in fracture repair, vertebroplasty and tissue engineering. This video shows InstaBone bone cement admixed with morselized bone, marrow and sterile water, creating a bone paste that is moldable, adherent and self-hardening. The resultant InstaBone-based biocomposite, containing living and viable cells from bone and marrow, is used directly to repair a large diaphyseal bone defect in an avian femur model. The unique physicochemical properties of InstaBone biomaterial may allow for its use in a greatly improved modification of the Masquelet technique for the treatment of bone defects by enabling bone repair to be...
HI to the good Human Beings out there. Here it is, three weeks after nearly being killed with Lorsban, the carnage and toxicity is clear. A neighbor's large goldfish got killed, inside the house. Fish are very weak to that poison. No longer here at all, or, if any, very few: Bugs: Bees, wasps, ladybugs, praying mantis, aphids, lacewings, spittle bugs, ants, hornets, flies, mosquitos, gnats, white flies, dragonflies and more. Birds: Magpies, hawks, vultures, sparrows, swallows, finches, Great Horned owls, and many more. Birds, less than 1% of normal. Bugs, 1/1000000 of what was here. No coyotes, no squirrel family in backyard oak tree, no frogs, no bats, much more again. So quiet...just those few robins and a couple doves about it for birds. First hummingbird to show up, about ...
I make money from playbacks of your video here https://youpartnerwsp.com/join?74431 This amazing beauty, active, peaceful, schooling fish aquarium, which is also referred to as the rainbow or the blue of the Congo. This fish species is representative of the African tetras, which back in 1899m, was described by biologist Boulanger. Habitat: Congo tetra is common in Africa. Wild populations are endemic to the Congo Basin in the Democratic Republic of the Congo. These fish stay in flocks in the river water. At the same time, in the wild they consume mainly representatives of crustaceans, insects, and various types of zooplankton and phytoplankton. Most fish available in the trade are bred for sale in Asia and Eastern Europe. Description: Congo tetra male fish body elongated and flat sides. F...
Grey Hornbill as seen in Rashtrapati Bhavan- The President's estate. In June 2013, a pair of Indian Grey Hornbills was found to be nesting along the Nature Trail within the Rashtrapati Bhavan. While seeing hornbills in Delhi is not a rare occurrence, seeing a nesting pair is indeed good news as it is not a frequent occurrence! This particular hornbill nest was on a Neem tree and rather unusual in that the nest cavity is almost facing upwards to the sky. The birds were nesting late in the summer season and the rains had started by the time the chicks had hatched. The chicks inside must have been inundated by the first few showers of the monsoons! Another anomaly is that four Hornbills were seen visiting this nest to feed the chicks. We had no idea that Hornbills had a community practice o...