By Moti Gitik, Itay Neeman, Dima Sinapova
Assuming huge cardinals we produce a forcing extension of V which preserves cardinals, doesn't upload reals, and makes the set of issues of countable V cofinality in κ+ nonstationary. carrying on with to strength additional, we receive an extension during which the set of issues of countable V cofinality in ν is nonstationary for each standard ν ≥ κ+. ultimately we exhibit that our huge cardinal assumption is perfect.
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Additional resources for A cardinal preserving extension making the set of points of countable V cofinality nonstationary
Qxd 2/21/2008 12:27 PM Page 13 3 THE MALE CHAUVINIST PIG T he women’s liberation movement is an amalgam of different programs and composed of diverse groups with differing aims. The discriminating intellect may accept some of the aims, purposes, motivations, and programs of women’s liberation, and reject others. It would be folly to treat as equivalent a host of different values and attitudes merely because they have been packaged together. The views of the women’s liberation movement can be divided into four major categories—each of which requires a different approach.
Qxd 2/21/2008 The Drug Pusher 12:27 PM Page 29 29 time and place for a robbery. But the addict must commit a crime whenever he needs a “fix,” and these times usually occur when his reactions are dulled by his drug deprivation. In reflecting upon the economics of “fencing” stolen merchandise, it becomes obvious that the addict must commit an enormous amount of crime to support his habit. To have the annual amount of $35,000 necessary to buy drugs, the addict must steal roughly five times that amount (almost $200,000 per year), since the buyers of stolen merchandise (fences), usually pay only 20 percent or less of the retail value of what they buy.
Why should the people who are not impaired or who do not have like responsibilities be restricted? Were it proper to prohibit heroin for this reason, surely it would also be proper to prohibit gambling, drinking, smoking, automobile driving, air travel, and other dangerous or potentially dangerous activities. But this would be patently absurd. Should heroin be legal for some people but not for the others who do not accept or fulfill their responsibilities because of their addiction? No. When a man, to continue the example, marries, he does not agree to renounce all activities which might be dangerous.
A cardinal preserving extension making the set of points of countable V cofinality nonstationary by Moti Gitik, Itay Neeman, Dima Sinapova