Logic Games: United Grouping Theory

Question 1

Undefined

Answer 1

The number of variables to be selected in an Undefined game is not fixed and is only limited by the total number of variables (lack of definition)

Question 1

Defined

Answer 1

The exact number of variables to select is fixed in the scenario or rules

Question 2

Partially-Defined

Answer 2

Minimum and/or maximum number of variables to be selected, but the exact number of variables selected can’t be determined

Question 3

Moving

Answer 3

You will have a defined number of slots, but the spread of the slots can vary from situation to situation

Question 4

Fixed

Answer 4

These are straightforward and they tell you the number of slots and how many slots per group

Question 5

Uniform Variables

Answer 5

If the variables in the selection pool all have the same basic characteristics

You can move the variables where ever you want (of course adhering to rules) but there aren’t restrictions

Question 6

Subdivided Variables

Answer 6

The selection pool is divided into specific sub-groups and each sub-group has a unique characteristic

Question 7

Balanced

Answer 7

The number of variables selected is equal to the number of spaces available

Question 8

Unbalanced

Answer 8

Number of variables to be selected IS NOT equal to the overall number (can be overloaded or underfunded)

Question 9

Overloaded

Answer 9

There are extra candidates for the available spaces

Question 10

Underfunded

Answer 10

There are not enough candidates for the available spaces (so most of the time, they say that multiple variables can be reused)

Question 11

If X is selected, then Y is not selected

Answer 11

X <–I–> Y

Question 12

Situations the Double-Not Arrow Covers

Answer 12

1) R is selected, H is not selected
2) H is selected, R is not selected
3) Neither R nor H are selected

Question 13

X will be selected if and only if Y is selected

Answer 13

X <—-> Y

Question 14

Situations the Double Arrow Covers

Answer 14

1) A and B both selected
2) Neither A nor B are selected

Question 15

X will be selected if but only if Y is selected

Answer 15

X <—-> Y

Question 16

X will be selected if yet only if Y is selected

Answer 16

X <—-> Y

Question 17

Situations to use Blocks in Grouping Games

Answer 17

1) When working with diagrams that have vertical components

2) When diagramming rules that contain 3 or more variables in a positive or negative grouping relationship

3) Represent groups that must occupy a specified number of spaces

Question 18

X and Y cannot be selected for the same team

Answer 18

X <–I–> Y

Question 19

Restriction: Limited variable placement options

Answer 19

When a variable can only be placed into a limited number of places (split option for ex) the situation is inherently restricted and inferences result

Question 20

Restriction: Restrictions on a space or spaces

Answer 20

When a single space or set of spaces has limited number of variables available for placement

Question 21

Structural Limitations: Small Group Size

Answer 21

When one of the groups is relatively small, and sometimes this can be affected by rules

Question 22

Two-Value Systems

Answer 22

Occurs in Defined, Balanced games where two groups have everyone assigned to them

If one variable isn’t in one group, it must be in the other, and you can make powerful inferences from those

Question 23

Hurdle the Uncertainty

Answer 23

Certain spaces may be restricted for specific variables, but even though you diagram positive and negative relationships, you can still determine one space with one variable because of inferences