Boole is a lunar

Moon

The Moon is Earth's only known natural satellite,There are a number of near-Earth asteroids including 3753 Cruithne that are co-orbital with Earth: their orbits bring them close to Earth for periods of time but then alter in the long term . These are quasi-satellites and not true moons. For more...

 crater

Impact crater

In the broadest sense, the term impact crater can be applied to any depression, natural or manmade, resulting from the high velocity impact of a projectile with a larger body...

 that lies along the northwestern limb of the Moon

Moon

The Moon is Earth's only known natural satellite,There are a number of near-Earth asteroids including 3753 Cruithne that are co-orbital with Earth: their orbits bring them close to Earth for periods of time but then alter in the long term . These are quasi-satellites and not true moons. For more...

, to the northwest of the crater Gerard

Gerard (crater)

Gerard is a lunar crater that lies along the western edge of the Oceanus Procellarum near the northwest limb of the Moon's near side. It is located to the north-northwest of the crater von Braun, and northeast of Bunsen...

. At this location it is viewed nearly from the side, and is very oblong in shape due to foreshortening. The crater formation is nearly circular, however, with a wide inner wall that has been worn and rounded due to subsequent impacts. It is named after George Boole

George Boole

George Boole was an English mathematician and philosopher.As the inventor of Boolean logic—the basis of modern digital computer logic—Boole is regarded in hindsight as a founder of the field of computer science. Boole said,...

.

To the north of Boole is the crater Cremona

Cremona (crater)

Cremona is a lunar crater that is located long the north-northwestern limb of the Moon. From the Earth this crater is viewed from the side, and the visibility is affected by libration effects. To be viewed in any detail, this crater must be seen or photographed from orbit...

, and to the southwest are Paneth

Paneth (crater)

Paneth is a lunar impact crater that is located on the far side of the Moon, just beyond the northwestern limb. It lies just to the north-northeast of the crater Smoluchowski, and to the east-southeast of Boole on the near side....

 and Smoluchowski

Smoluchowski (crater)

Smoluchowski is a lunar impact crater on the far side of the Moon. It lies in the part of the lunar surface that is sometimes brought into view of the Earth during periods of favorable libration and illumination from sunlight, but at such times little detail can be seen as the crater is observed...

. The eroded and somewhat distorted satellite crater Boole E is attached to the southern rim, forming a saddle-shaped valley between the two formations. The interior floor of Boole is relatively flat, and marked only by tiny craterlets. There is a small craterlet on the floor next to the southwest rim, and a tiny crater along the western inner wall.

The surface along the western face of Boole is pock-marked by a multitude of small craterlets that run in a northerly direction towards Brianchon

Brianchon (crater)

Brianchon is a lunar crater that is located along the northwestern limb of the Moon. Due to its location, from the Earth the crater is seen from the edge and its visibility is somewhat affected by libration. Thus for a more detailed view, the crater must be viewed from orbit.This crater lies just...

. A sequence of these impacts forms a short catena, or crater chain, near the western rim of Boole.

Satellite craters

By convention these features are identified on lunar maps by placing the letter on the side of the crater mid-point that is closest to Boole.

Boole	Latitude	Longitude	Diameter
A	63.6° N	80.6° W	56 km
B	63.6° N	77.3° W	9 km
C	65.4° N	82.5° W	18 km
D	64.0° N	83.5° W	10 km
E	62.9° N	84.6° W	16 km
F	64.2° N	79.4° W	34 km
G	64.8° N	90.9° W	41 km
H	61.6° N	88.9° W	75 km
R	64.4° N	78.0° W	13 km