Increasing quantity has no lower (or upper) bound (and gives a representation of negative numbers) vs. increasing quantity has lower bound.

See left-BP353 for looping quantities; these do not clearly represent positive and negative numbers, but they can likewise unboundedly decrease and increase.

See BP870 for a version about upper bounds.

See left-BP353 for looping quantities; these do not clearly represent positive and negative numbers, but they can likewise unboundedly decrease and increase.

See left-BP353 for looping quantities; these do not clearly represent negative numbers, but they can likewise unboundedly decrease and increase.

All left examples have a clear "zero" value, but it may be unclear which side is meant to be positive and which side is meant to be negative (See left-BP893 for quantities without clear notion of increase/decrease.)

All left examples have a clear "zero" value, but it may be unclear which side is meant to be positive and which side is meant to be negative (See BP893 for quantities without clear notion of increase/decrease).

All left examples have a clear "zero" value, but may be unclear which side is meant to be positive and which side is meant to be negative (See BP893 for quantities without clear notion of increase/decrease).

All left examples have a clear "zero" value, but may be unclear which side is meant to be positive and which side is meant to be negative.

See BP353 for looping quantities; these do not clearly represent negative numbers, but they can likewise unboundedly decrease and increase.

All left examples have a clear "zero" value.

Currently, all left examples include representations of negative numbers. All left examples have a clear "zero" value. It is difficult to think of examples not like this.

All left examples include representations of negative numbers. All left examples have a clear "zero" value.

Increasing quantity has no lower (or upper) bound (and gives a representation of negative numbers) vs. increasing quantity has lower (and/or upper) bound.

Increasing quantity has no lower or upper bound (and gives a representation of negative numbers) vs. increasing quantity has lower (and/or upper) bound.

All left examples include representations of right numbers. All left examples have a clear "zero" value.

Increasing quantity has no lower (or upper) bound vs. increasing quantity has lower (and/or upper) bound.

Quantity has no lower (or upper) bound vs. quantity has lower (and/or upper) bound.

Quantity has no lower bound vs. quantity has lower bound.

Aaron David Fairbanks