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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Jeff Barnett <jbb@notatt.com> Newsgroups: sci.logic,sci.math Subject: Re: Replacement of Cardinality Date: Wed, 28 Aug 2024 13:04:48 -0600 Organization: A noiseless patient Spider Lines: 21 Message-ID: <vansci$3j3d7$1@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <va4h96$3r7nv$1@dont-email.me> <H5iV5HXUBwUzWtVKRZj7h4N2LdA@jntp> <va543m$3u6dp$1@dont-email.me> <kN73KZJabPuiasJJ0DR6UOOrMHE@jntp> <d47ad77b3f2bd0bc6280b8eca772b280f3a18dc8@i2pn2.org> <ivRRwss8WgoMTIfJa5g04TJmRxU@jntp> <db885c7c1e1a5bfdf60e90fa9882bfb73b4e6ce7@i2pn2.org> <eY2Memk56jLKsrTeR3kBDQQqfHI@jntp> <bdfbb725-7fc3-4e17-b09b-4d6191d301a5@att.net> <tvUGDEKZBjBIOn4R0HIJvG5es4k@jntp> <aab21a74-45e2-4a91-835f-d6aa2adeb7ff@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: base64 Injection-Date: Wed, 28 Aug 2024 21:04:50 +0200 (CEST) Injection-Info: dont-email.me; posting-host="30ca9b305ae74a973bd5b4647ee71648"; logging-data="3771815"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX193eVFFjRDwV1FSRmZwu7MyFHfGM1ETn2Q=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:T3cldOW3TatOXAMojYUDE72bQyE= Content-Language: en-US X-Antivirus: AVG (VPS 240828-8, 8/28/2024), Outbound message In-Reply-To: <aab21a74-45e2-4a91-835f-d6aa2adeb7ff@att.net> X-Antivirus-Status: Clean Bytes: 3081 T24gOC8yOC8yMDI0IDEyOjEzIEFNLCBKaW0gQnVybnMgd3JvdGU6DQo+IE9uIDgvMjcvMjAy NCAzOjExIFBNLCBXTSB3cm90ZToNCj4+IExlIDI3LzA4LzIwMjQgw6AgMDI6MDYsIEppbSBC dXJucyBhIMOpY3JpdCA6DQo+Pj4gT24gOC8yNS8yMDI0IDM6NDUgUE0sIFdNIHdyb3RlOg0K PiANCj4+Pj4gVGhpcyBmdW5jdGlvbiBleGlzdHMgYmVjYXVzZQ0KPj4+PiBub3RoaW5nIGNv bnRyYWRpY3RzIGl0cyBleGlzdGVuY2UuDQo+Pj4NCj4+PiBFeGNlcHQgZm9yIHRoZSBjb250 cmFkaWN0aW5nDQo+Pj4gY29uc2VxdWVuY2VzIG9mIGl0cyBleGlzdGVuY2UuDQo+Pg0KPj4g VGhlIGZ1bmN0aW9uIGV4aXN0cyBpZg0KPj4gYWN0dWFsIGluZmluaXR5IGV4aXN0cy4NCj4+ IFRoZSBmdW5jdGlvbiBkb2VzIG5vdCBleGlzdCBpZg0KPj4gb25seSBwb3RlbnRpYWwgaW5m aW5pdHkgZXhpc3RzLg0KPj4NCj4+PiDCrOKIg+G0v3g+MDogTlVGKHgpID0gMQ0KPj4NCj4+ IFRoZW4gTlVGKHgpIGRvZXMgbm90IGV4aXN0DQo+PiBhbmQgaW5maW5pdHkgaXMgbm90IGFj dHVhbA0KPj4gYW5kIHNldHMgYXJlIG5vdCBjb21wbGV0ZS4NCj4gDQo+IEluIGEgZmluaXRl 4oG/4bWS4bWX4ZCn4bWC4bS5IG9yZGVyIOKfqEIsPOKfqQ0KPiBlYWNoIG5vbi5lbXB0eSBT IOKKhiBCIGlzIDIuZW5kZWQuDQo+IA0KPiBJbiBhIGZpbml0ZeG1guG0uSBvcmRlciDin6hC LDzin6kNCj4gbm8gb25lIGNhbiBzYXkNCj4gd2hhdCBhIHNldOG1guG0uSBpcywNCj4gd2hh dCBhbiBvcmRlcuG1guG0uSBpcywNCj4gd2hhdCBmaW5pdGXhtYLhtLkgaXMuDQo+IFBlcmhh cHMsIGluIDMwIG1vcmUgeWVhcnMsDQo+IHRoZXNlIHF1ZXN0aW9uIHdpbGwgaGF2ZSBhbnN3 ZXJzLg0KPiANCj4gQW4gaW5maW5pdGXigb/htZLhtZfhkKfhtYLhtLkgb3JkZXIg4p+oQizi l4Hin6kgaXMNCj4gdHJpY2hvdG9tb3VzIGFuZCBub3QgZmluaXRl4oG/4bWS4bWX4ZCn4bWC 4bS5Lg0KDQpUcmljaG90b21vdXM/IERpZCB5b3UgYWN0dWFsbHkgbWVhbiB0byBzYXkgImRl bnNlIG9yZGVyIiwgImRlbnNlIGluIA0KaXRzZWxmIiwgb3Igc29tZXRoaW5nIGVsc2UgYWtp bj8NCg0KPFNOSVBQSU5HPg0KLS0gDQpKZWZmIEJhcm5ldHQNCg0K