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Le 21/06/2024 à 02:18, Jim Burns a écrit :On 6/19/2024 2:37 PM, WM wrote:Le 18/06/2024 à 23:06, Jim Burns a écrit :
For each FISON, another FISON is proper superset.>>If the set of numbers.remaining [in ⋂{Xᴬ⤾⁺¹₀}]>
does not hold a first element [in ⋂{Xᴬ⤾⁺¹₀}],
then the set of numbers.remaining [in ⋂{Xᴬ⤾⁺¹₀}]
is the empty set.
That is your big mistake!
For subsets of the union ⋃{⟨0…n⟩} of FISONs
only the empty set does not hold a first element.
[1]
That is true.
>
Since from every FISON F(n) = {1,2,3,...,n}
we know by definition that
it is neither sufficient nor necessary
to make the union of FISONs ℕ,
we can remove it from the union and
find
∪{F(1),F(2),F(3),...} = ℕ ==> ∪{ } = ℕ .
Among the FISONs of ℕ there is not,For each FISON, another FISON is proper superset.
in any enumeration,
a first one that is required to yield
the union ℕ.
UsuallyApparently, I am unusual.
Date | Sujet | # | Auteur | |
6 Apr 24 | Re: Contradiction of bijections as a measure for infinite sets | 1217 | WM | |
6 Apr 24 | Re: Contradiction of bijections as a measure for infinite sets | 1216 | Richard Damon | |
6 Apr 24 | Re: Contradiction of bijections as a measure for infinite sets | 1215 | WM | |
6 Apr 24 | Re: Contradiction of bijections as a measure for infinite sets | 1214 | Richard Damon | |
6 Apr 24 | Re: Contradiction of bijections as a measure for infinite sets | 1213 | WM | |
6 Apr 24 | Re: Contradiction of bijections as a measure for infinite sets | 1212 | Richard Damon | |
7 Apr 24 | Re: Contradiction of bijections as a measure for infinite sets | 1211 | WM | |
7 Apr 24 | Re: Contradiction of bijections as a measure for infinite sets | 1210 | Richard Damon | |
7 Apr 24 | Re: Contradiction of bijections as a measure for infinite sets | 1209 | WM | |
7 Apr 24 | how | 1208 | Richard Damon | |
8 Apr 24 | Re: how | 1207 | WM | |
9 Apr 24 | Re: how | 1206 | Richard Damon | |
9 Apr 24 | Re: how | 1186 | WM | |
10 Apr 24 | Re: how | 2 | Chris M. Thomasson | |
10 Apr 24 | Re: how | 1 | Chris M. Thomasson | |
10 Apr 24 | Re: how | 1183 | Richard Damon | |
10 Apr 24 | Re: how | 8 | WM | |
11 Apr 24 | Re: how | 7 | Richard Damon | |
11 Apr 24 | Re: how | 6 | WM | |
11 Apr 24 | Re: how | 5 | Richard Damon | |
12 Apr 24 | Re: how | 4 | WM | |
12 Apr 24 | Re: how | 3 | Richard Damon | |
12 Apr 24 | Re: how | 2 | WM | |
12 Apr 24 | Re: how | 1 | Richard Damon | |
10 Apr 24 | Re: how | 1173 | WM | |
10 Apr 24 | Re: how | 1 | FromTheRafters | |
11 Apr 24 | Re: how | 1171 | Richard Damon | |
11 Apr 24 | Re: how | 1170 | WM | |
11 Apr 24 | Re: how | 1161 | Jim Burns | |
12 Apr 24 | Re: how | 1160 | WM | |
12 Apr 24 | Re: how | 29 | Tom Bola | |
12 Apr 24 | Re: how | 26 | WM | |
12 Apr 24 | Re: how | 1 | Tom Bola | |
12 Apr 24 | Re: how | 23 | Tom Bola | |
12 Apr 24 | Re: how | 22 | WM | |
12 Apr 24 | Re: how | 13 | Richard Damon | |
12 Apr 24 | Re: how | 12 | WM | |
12 Apr 24 | Re: how | 1 | Tom Bola | |
12 Apr 24 | Re: how | 10 | Richard Damon | |
12 Apr 24 | Re: how | 9 | WM | |
12 Apr 24 | Re: how | 7 | Richard Damon | |
13 Apr 24 | Re: how | 6 | WM | |
13 Apr 24 | Re: how | 4 | Richard Damon | |
14 Apr 24 | Re: how | 3 | WM | |
14 Apr 24 | Re: how | 1 | Richard Damon | |
14 Apr 24 | Re: how | 1 | FromTheRafters | |
13 Apr 24 | Re: how | 1 | Hayward Böhm Geissler | |
12 Apr 24 | Re: how | 1 | Chris M. Thomasson | |
12 Apr 24 | Re: how | 8 | Tom Bola | |
12 Apr 24 | Re: how | 7 | WM | |
12 Apr 24 | Re: how | 6 | Tom Bola | |
12 Apr 24 | Re: how | 5 | WM | |
12 Apr 24 | Re: how | 1 | Tom Bola | |
12 Apr 24 | Re: how | 3 | Chris M. Thomasson | |
12 Apr 24 | Re: how | 2 | FromTheRafters | |
13 Apr 24 | Re: how | 1 | Chris M. Thomasson | |
12 Apr 24 | Re: how | 1 | Chris M. Thomasson | |
12 Apr 24 | Re: how | 2 | Chris M. Thomasson | |
12 Apr 24 | Re: how | 1 | Tom Bola | |
12 Apr 24 | Re: how | 1130 | Jim Burns | |
13 Apr 24 | Re: how | 1129 | WM | |
13 Apr 24 | Re: how | 838 | Richard Damon | |
14 Apr 24 | Re: how | 837 | WM | |
14 Apr 24 | Re: how | 836 | Richard Damon | |
15 Apr 24 | Re: how | 835 | WM | |
15 Apr 24 | Re: how | 2 | Tom Bola | |
16 Apr 24 | Re: how | 1 | WM | |
15 Apr 24 | Re: how | 832 | Richard Damon | |
16 Apr 24 | Re: how | 831 | WM | |
17 Apr 24 | Re: how | 830 | Richard Damon | |
17 Apr 24 | Re: how | 5 | FromTheRafters | |
17 Apr 24 | Re: how | 4 | Chris M. Thomasson | |
17 Apr 24 | Re: how | 3 | FromTheRafters | |
17 Apr 24 | Re: how | 1 | Chris M. Thomasson | |
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17 Apr 24 | Re: how | 824 | WM | |
17 Apr 24 | Re: how | 1 | Chris M. Thomasson | |
17 Apr 24 | Re: how | 822 | Richard Damon | |
18 Apr 24 | Re: how | 1 | Tom Bola | |
18 Apr 24 | Re: how | 820 | WM | |
18 Apr 24 | Re: how | 1 | FromTheRafters | |
18 Apr 24 | Re: how | 818 | Richard Damon | |
19 Apr 24 | Re: how | 817 | WM | |
19 Apr 24 | Re: how | 743 | Chris M. Thomasson | |
19 Apr 24 | Re: how | 741 | Tom Bola | |
20 Apr 24 | Re: how | 1 | Chris M. Thomasson | |
20 Apr 24 | Re: how | 739 | WM | |
20 Apr 24 | Re: how | 738 | FromTheRafters | |
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20 Apr 24 | Re: how | 736 | WM | |
20 Apr 24 | Re: how | 719 | FromTheRafters | |
22 Apr 24 | Re: how | 718 | WM | |
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23 Apr 24 | Re: how | 7 | FromTheRafters | |
23 Apr 24 | Re: how | 6 | WM | |
23 Apr 24 | Re: how | 2 | FromTheRafters | |
24 Apr 24 | Re: how | 1 | WM | |
23 Apr 24 | Re: how | 3 | Chris M. Thomasson | |
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