# integer: be closed under multiplication

from Quasimodo

## Related concepts

 Parents rational numberWeight: 0.60, thingWeight: 0.53, operationWeight: 0.52, variableWeight: 0.51, stringWeight: 0.51 Siblings irrational numberWeight: 0.49, parameterWeight: 0.32, amplitudeWeight: 0.32, vectorWeight: 0.31, syntaxWeight: 0.31

## Related properties

 Similarity Property be closed under multiplication 1.00 be closed under subtraction 0.81 be closed under addition 0.76

## Clauses

### Plausibility inference from child typicality

0.51
Rule weight: 0.66
Evidence weight: 0.76
Similarity weight: 1.00
Evidence: 0.14
Plausible(rational number, be closed under multiplication)
Evidence: 0.27
¬ Typical(integer, be closed under multiplication)
0.41
Rule weight: 0.66
Evidence weight: 0.76
Similarity weight: 0.81
Evidence: 0.14
Plausible(rational number, be closed under subtraction)
Evidence: 0.27
¬ Typical(integer, be closed under multiplication)
0.37
Rule weight: 0.66
Evidence weight: 0.73
Similarity weight: 0.76
Evidence: 0.00
Plausible(rational number, be closed under addition)
Evidence: 0.27
¬ Typical(integer, be closed under multiplication)

### Plausibility inheritance from parent to child

0.08
Rule weight: 0.09
Evidence weight: 0.87
Similarity weight: 1.00
Evidence: 0.07
Plausible(integer, be closed under multiplication)
Evidence: 0.14
¬ Plausible(rational number, be closed under multiplication)
0.07
Rule weight: 0.09
Evidence weight: 1.00
Similarity weight: 0.76
Evidence: 0.07
Plausible(integer, be closed under multiplication)
Evidence: 0.00
¬ Plausible(rational number, be closed under addition)
0.07
Rule weight: 0.09
Evidence weight: 0.87
Similarity weight: 0.81
Evidence: 0.07
Plausible(integer, be closed under multiplication)
Evidence: 0.14
¬ Plausible(rational number, be closed under subtraction)

### Remarkability exclusitivity betweem a parent and a child

0.58
Rule weight: 0.58
Evidence weight: 1.00
Similarity weight: 1.00
Evidence: 0.09
¬ Remarkable(integer, be closed under multiplication)
Evidence: 0.00
¬ Remarkable(rational number, be closed under multiplication)
0.46
Rule weight: 0.58
Evidence weight: 1.00
Similarity weight: 0.81
Evidence: 0.09
¬ Remarkable(integer, be closed under multiplication)
Evidence: 0.00
¬ Remarkable(rational number, be closed under subtraction)
0.44
Rule weight: 0.58
Evidence weight: 1.00
Similarity weight: 0.76
Evidence: 0.09
¬ Remarkable(integer, be closed under multiplication)
Evidence: 0.00
¬ Remarkable(rational number, be closed under addition)

### Remarkability from parent implausibility

0.39
Rule weight: 0.42
Evidence weight: 0.94
Similarity weight: 1.00
Evidence: 0.14
Plausible(rational number, be closed under multiplication)
Evidence: 0.09
Remarkable(integer, be closed under multiplication)
Evidence: 0.07
¬ Plausible(integer, be closed under multiplication)
0.32
Rule weight: 0.42
Evidence weight: 0.94
Similarity weight: 0.81
Evidence: 0.14
Plausible(rational number, be closed under subtraction)
Evidence: 0.09
Remarkable(integer, be closed under multiplication)
Evidence: 0.07
¬ Plausible(integer, be closed under multiplication)
0.30
Rule weight: 0.42
Evidence weight: 0.93
Similarity weight: 0.76
Evidence: 0.00
Plausible(rational number, be closed under addition)
Evidence: 0.09
Remarkable(integer, be closed under multiplication)
Evidence: 0.07
¬ Plausible(integer, be closed under multiplication)

### Salient implies Plausible

0.26
Rule weight: 0.28
Evidence weight: 0.92
Similarity weight: 1.00
Evidence: 0.07
Plausible(integer, be closed under multiplication)
Evidence: 0.08
¬ Salient(integer, be closed under multiplication)

### Similarity expansion

0.65
Rule weight: 0.85
Evidence weight: 0.95
Similarity weight: 0.81
Evidence: 0.09
Remarkable(integer, be closed under multiplication)
Evidence: 0.06
¬ Remarkable(integer, be closed under subtraction)
0.63
Rule weight: 0.85
Evidence weight: 0.91
Similarity weight: 0.81
Evidence: 0.08
Salient(integer, be closed under multiplication)
Evidence: 0.09
¬ Salient(integer, be closed under subtraction)
0.56
Rule weight: 0.85
Evidence weight: 0.86
Similarity weight: 0.76
Evidence: 0.09
Remarkable(integer, be closed under multiplication)
Evidence: 0.15
¬ Remarkable(integer, be closed under addition)
0.53
Rule weight: 0.85
Evidence weight: 0.78
Similarity weight: 0.81
Evidence: 0.27
Typical(integer, be closed under multiplication)
Evidence: 0.31
¬ Typical(integer, be closed under subtraction)
0.50
Rule weight: 0.85
Evidence weight: 0.78
Similarity weight: 0.76
Evidence: 0.08
Salient(integer, be closed under multiplication)
Evidence: 0.25
¬ Salient(integer, be closed under addition)
0.41
Rule weight: 0.85
Evidence weight: 0.60
Similarity weight: 0.81
Evidence: 0.07
Plausible(integer, be closed under multiplication)
Evidence: 0.43
¬ Plausible(integer, be closed under subtraction)
0.38
Rule weight: 0.85
Evidence weight: 0.58
Similarity weight: 0.76
Evidence: 0.27
Typical(integer, be closed under multiplication)
Evidence: 0.58
¬ Typical(integer, be closed under addition)
0.19
Rule weight: 0.85
Evidence weight: 0.29
Similarity weight: 0.76
Evidence: 0.07
Plausible(integer, be closed under multiplication)
Evidence: 0.76
¬ Plausible(integer, be closed under addition)

### Typical and Remarkable implies Salient

0.14
Rule weight: 0.14
Evidence weight: 0.98
Similarity weight: 1.00
Evidence: 0.08
Salient(integer, be closed under multiplication)
Evidence: 0.27
¬ Typical(integer, be closed under multiplication)
Evidence: 0.09
¬ Remarkable(integer, be closed under multiplication)

### Typical implies Plausible

0.36
Rule weight: 0.48
Evidence weight: 0.75
Similarity weight: 1.00
Evidence: 0.07
Plausible(integer, be closed under multiplication)
Evidence: 0.27
¬ Typical(integer, be closed under multiplication)

### Typicality and Rermarkability incompatibility between a parent and a child

0.51
Rule weight: 0.51
Evidence weight: 0.99
Similarity weight: 1.00
Evidence: 0.09
¬ Remarkable(integer, be closed under multiplication)
Evidence: 0.11
¬ Typical(rational number, be closed under multiplication)
0.41
Rule weight: 0.51
Evidence weight: 0.99
Similarity weight: 0.81
Evidence: 0.09
¬ Remarkable(integer, be closed under multiplication)
Evidence: 0.11
¬ Typical(rational number, be closed under subtraction)
0.38
Rule weight: 0.51
Evidence weight: 0.99
Similarity weight: 0.76
Evidence: 0.09
¬ Remarkable(integer, be closed under multiplication)
Evidence: 0.11
¬ Typical(rational number, be closed under addition)

### Typicality inheritance from parent to child

0.45
Rule weight: 0.48
Evidence weight: 0.92
Similarity weight: 1.00
Evidence: 0.27
Typical(integer, be closed under multiplication)
Evidence: 0.11
¬ Typical(rational number, be closed under multiplication)
0.36
Rule weight: 0.48
Evidence weight: 0.92
Similarity weight: 0.81
Evidence: 0.27
Typical(integer, be closed under multiplication)
Evidence: 0.11
¬ Typical(rational number, be closed under subtraction)
0.34
Rule weight: 0.48
Evidence weight: 0.92
Similarity weight: 0.76
Evidence: 0.27
Typical(integer, be closed under multiplication)
Evidence: 0.11
¬ Typical(rational number, be closed under addition)