Sunday, March 31, 2019
Thursday, February 28, 2019
Reality Is Impossible
Things that are true are not possibly true. They are just true!
Likewise, things that are false are
not possibly false. They are just
false!
If something is necessarily true,
then it is true, which means that it is not possibly true. And if something is
necessarily false, then it is false, which means that it is not possibly false.
Yet Alethic Modal Logic tells us
that something being necessarily true just means that it is not possibly not true.
Does this definition, or pair of
definitions for Necessity N and Possibility P, [(Na = -P-a) & (Pa = -N-a)], make sense, given our two Reality Principles, (1) [(a > -Pa) & (-a > -P-a)] and (2) [(Na > a) & (N-a > -a)]?
Let's see:
Wednesday, February 27, 2019
False by Definition
With the Liar
Statement—i.e. “This statement is false,” which we can translate as “p = this
statement (p) is false = (p = ~p)”— the definition
of p is false, not p itself. What does it mean for a definition to be false? It
means that it is formally invalid. This in turn
means that it is not permitted within our logic to use a definition of this
form. Note that the statement of a definition implies the statement that it defines, but it is not identical to the statement it defines.
I.e. Def. p > (p = -p).
Def. q > ( q = -q) S
Def. q S
q = -q MP
q S
-q ES
q & -q CONJ
-q IP
q ES
q & -q CONJ
-(Def. q) IP
(Def. q > (q = -q)) > -(Def. q) CP
∀p [(Def. p > (p = -p)) > -(Def. p)] UG
(1), QED
In any case, the above proves that the Liar Statement is falsidical and not a real antinomic paradox.
Thursday, February 7, 2019
Thursday, January 31, 2019
Legislation: a Card Game
Legislation
E.B. Nelson, 1.31.19 (c)
A Card Game for 3 to 8 Players
Components:
16 Representative cards; 81 Bill
cards; Pro and Con Pledge Token sets numbered for players 1-8; Agenda Point
Tokens
Rules:
You play as an elected Representative
of Congress. Your goal is to get as many Bills that promote your Agenda passed as
you can over the course of the legislative Session, while blocking all Bills
that are detrimental to your Agenda.
You first draw a Representative
to play as from the Representative Deck. The Representative Deck must be
constructed according to the number of players so that there is an even
distribution of Representatives per Agendas (see the Deck list below).
Next, shuffle the deck of 81 Bills
and deal 9 face down to each player. You will look at these cards but conceal
them from the other players.
On the first turn, players decide
which of their cards they wish to keep, if any, and which they wish to discard.
Discard into your own Discard Pile in front of you.
On the second turn, players draw
the number of cards needed to make a full hand of 9 from any of the other
players’ Discard Piles and/or the remaining Deck. On each subsequent turn, at the
beginning of your turn, you can discard into your Discard Pile one card and
pick up one card from any of the other piles, or you can choose not to discard.
On the third turn, place 3 Bills
in front of you face up that you wish to place On Deck for future votes. Once
you place a card On Deck, you cannot discard and replace it. It must eventually
be voted on.
On the fourth turn, you seek Pledges
to vote on your Bills from the other players. You do this by bargaining with
each of them by offering to trade cards you have in your hand, to make Pledges
on their Bills, or to make anti-Pledges on their opponent’s Bills. Pledges made
by you and the other players are final only when your turn ends.
On the fifth turn, choose one of
your three Bills On Deck and put it to a vote. Everyone votes, and the vote is “Yay,”
“Nay,” or “Abstain.” Representatives can choose to betray their Pledges by voting
against their Pledged or anti-Pledged votes or by abstaining, but if they do
so, whether once or multiple times on a Vote round, they must skip the next
Pledge turn entirely, neither seeking Pledges nor making any (although players
can still Pledge on their On Deck Bills per bargains with other players). A Bill
pass if it has a positive vote total; otherwise it fails. A “Yay” counts as 1,
a “Nay” counts as -1, and an “Abstain” counts as 0. If your Bill passes, you
gain the Agenda Points listed for your Agenda on the Bill, as do the other
players with that Agenda, and others lose points as listed. Place passed Bills
in the Passed Bills Pile. If the Bill does not pass, place it in the Failed
Bills Pile. Finally, replace the empty On Deck spot with a new face up Bill.
Next is a Pledge round again,
followed by another Vote round, and so on. The game ends when all players run
out of Bills in their hands and On Deck, i.e. after 9 votes for each player
(optional: players can have hands of 6 instead for a shorter game).
Some cards also have Special
Effects if they pass, and Representatives each have a Special Effect they
cannot enact once per game. Follow the rules for these Effects as described.
The winner is the player with the highest Agenda Point total at the end of the
Session.
Representatives (two of each type):
Single Agenda:
- Social Progressive
- Social Conservative
- Fiscal Progressive
- Fiscal Conservative
- Social Progressive, Fiscal Progressive
- Social Progressive, Fiscal Conservative
- Social Conservative, Fiscal Conservative
- Social Conservative, Fiscal Progressive
Representative Deck
Builds per Number of Players:
Where X= Social Progressive, Y= Social Conservative
Where X= Social Conservative, Y= Social Progressive
Where A= Fiscal Progressive, B= Fiscal Conservative
Where A= Fiscal Conservative, B= Fiscal Progressive
3 Players: X, A, YB
4 Players: All single or all dual
5 Players: XA, YB, XB, Y, A
6 Players: X, Y, A, B, XA, YB
7 Players: XA, XB, YA, YB, X, Y, A
8 Players: All
Bill Deck Chart:
Bill
|
Agenda Points Scored if Passed per Representative Agenda
|
|||
# & Name
|
Social Progressive
|
Social
Conservative
|
Fiscal Progressive
|
Fiscal
Conservative
|
1
|
+1
|
+1
|
+1
|
+1
|
2
|
+1
|
+1
|
+1
|
-1
|
3
|
+1
|
+1
|
+1
|
0
|
4
|
+1
|
+1
|
-1
|
+1
|
5
|
+1
|
+1
|
-1
|
-1
|
6
|
+1
|
+1
|
-1
|
0
|
7
|
+1
|
+1
|
0
|
+1
|
8
|
+1
|
+1
|
0
|
-1
|
9
|
+1
|
+1
|
0
|
0
|
10
|
+1
|
-1
|
+1
|
+1
|
11
|
+1
|
-1
|
+1
|
-1
|
12
|
+1
|
-1
|
+1
|
0
|
13
|
+1
|
-1
|
-1
|
+1
|
14
|
+1
|
-1
|
-1
|
-1
|
15
|
+1
|
-1
|
-1
|
0
|
16
|
+1
|
-1
|
0
|
+1
|
17
|
+1
|
-1
|
0
|
-1
|
18
|
+1
|
-1
|
0
|
0
|
19
|
+1
|
0
|
+1
|
+1
|
20
|
+1
|
0
|
+1
|
-1
|
21
|
+1
|
0
|
+1
|
0
|
22
|
+1
|
0
|
-1
|
+1
|
23
|
+1
|
0
|
-1
|
-1
|
24
|
+1
|
0
|
-1
|
0
|
25
|
+1
|
0
|
0
|
+1
|
26
|
+1
|
0
|
0
|
-1
|
27
|
+1
|
0
|
0
|
0
|
28
|
-1
|
+1
|
+1
|
+1
|
29
|
-1
|
+1
|
+1
|
-1
|
30
|
-1
|
+1
|
+1
|
0
|
31
|
-1
|
+1
|
-1
|
+1
|
32
|
-1
|
+1
|
-1
|
-1
|
33
|
-1
|
+1
|
-1
|
0
|
34
|
-1
|
+1
|
0
|
+1
|
35
|
-1
|
+1
|
0
|
-1
|
36
|
-1
|
+1
|
0
|
0
|
37
|
-1
|
-1
|
+1
|
+1
|
38
|
-1
|
-1
|
+1
|
-1
|
39
|
-1
|
-1
|
+1
|
0
|
40
|
-1
|
-1
|
-1
|
+1
|
41
|
-1
|
-1
|
-1
|
-1
|
42
|
-1
|
-1
|
-1
|
0
|
43
|
-1
|
-1
|
0
|
+1
|
44
|
-1
|
-1
|
0
|
-1
|
45
|
-1
|
-1
|
0
|
0
|
46
|
-1
|
0
|
+1
|
+1
|
47
|
-1
|
0
|
+1
|
-1
|
48
|
-1
|
0
|
+1
|
0
|
49
|
-1
|
0
|
-1
|
+1
|
50
|
-1
|
0
|
-1
|
-1
|
51
|
-1
|
0
|
-1
|
0
|
52
|
-1
|
0
|
0
|
+1
|
53
|
-1
|
0
|
0
|
-1
|
54
|
-1
|
0
|
0
|
0
|
55
|
0
|
+1
|
+1
|
+1
|
56
|
0
|
+1
|
+1
|
-1
|
57
|
0
|
+1
|
+1
|
0
|
58
|
0
|
+1
|
-1
|
+1
|
59
|
0
|
+1
|
-1
|
-1
|
60
|
0
|
+1
|
-1
|
0
|
61
|
0
|
+1
|
0
|
+1
|
62
|
0
|
+1
|
0
|
-1
|
63
|
0
|
+1
|
0
|
0
|
64
|
0
|
-1
|
+1
|
+1
|
65
|
0
|
-1
|
+1
|
-1
|
66
|
0
|
-1
|
+1
|
0
|
67
|
0
|
-1
|
-1
|
+1
|
68
|
0
|
-1
|
-1
|
-1
|
69
|
0
|
-1
|
-1
|
0
|
70
|
0
|
-1
|
0
|
+1
|
71
|
0
|
-1
|
0
|
-1
|
72
|
0
|
-1
|
0
|
0
|
73
|
0
|
0
|
+1
|
+1
|
74
|
0
|
0
|
+1
|
-1
|
75
|
0
|
0
|
+1
|
0
|
76
|
0
|
0
|
-1
|
+1
|
77
|
0
|
0
|
-1
|
-1
|
78
|
0
|
0
|
-1
|
0
|
79
|
0
|
0
|
0
|
+1
|
80
|
0
|
0
|
0
|
-1
|
81
|
0
|
0
|
0
|
0
|
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