The Enchanted Initiate
A Journal of Traditional Symbolism, Hermeticism & the Occult Sciences

Arithmetic

Arithmetic is a fundamental part of the Liberal Arts, involving basic numerical calculations.

Concordance & Cross-References

Primary Correspondences & Figures

Number→Concept

Subject 25, Arithmetic, represents the study of numbers and their relationships, fundamental in the science of calculation and measurement. Number is defined as the extension and energy in the monad which is the essence of arithmetic.

Music→Concept

Music depends on arithmetic but its impact on arithmetic is limited to one of its expressions.

Geometry depends on arithmetic but arithmetic remains independent without geometry.

Mediate Correspondences

Sympathetic Chains & Distant Affinities

ArithmeticthroughMusicilluminatesPythagoras →
I. Arithmetic & Music

Music depends on arithmetic but its impact on arithmetic is limited to one of its expressions.

II. Music & Pythagoras

Pythagoras invented musical modes and used them for both scientific and therapeutic purposes. He is credited with establishing the link between music and natural laws.

ArithmeticthroughMusicilluminatesPlato →
I. Arithmetic & Music

Music depends on arithmetic but its impact on arithmetic is limited to one of its expressions.

II. Music & Plato

Plato agreed with Pythagoras on the significant role of music in education and state, emphasizing its moral and social value.

ArithmeticthroughNumberilluminatesMonad →
I. Arithmetic & Number

Subject 25, Arithmetic, represents the study of numbers and their relationships, fundamental in the science of calculation and measurement. Number is defined as the extension and energy in the monad which is the essence of arithmetic.

II. Number & Monad

Monad is a concept underlying number, considered by Pythagoreans as the source of many forms, structures, and entities in mathematics and philosophy.

ArithmeticthroughMusicilluminatesApollo →
I. Arithmetic & Music

Music depends on arithmetic but its impact on arithmetic is limited to one of its expressions.

II. Music & Apollo

Apollo is associated with Music, embodying the art of song and poetic expression.

ArithmeticthroughMusicilluminatesColor →
I. Arithmetic & Music

Music depends on arithmetic but its impact on arithmetic is limited to one of its expressions.

II. Music & Color

The color and musical scales are corresponded in the discussion, showing the law of the octave and the higher scope of the sense of hearing compared to sight.

ArithmeticthroughMusicilluminatesAstronomy →
I. Arithmetic & Music

Music depends on arithmetic but its impact on arithmetic is limited to one of its expressions.

II. Music & Astronomy

Music and geometry together contribute to astronomy, but neither music nor geometry is dependent on astronomy in the same way.

ArithmeticthroughMusicilluminatesForm →
I. Arithmetic & Music

Music depends on arithmetic but its impact on arithmetic is limited to one of its expressions.

II. Music & Form

Music enhances form through an ethereal connection, making it more expressive and alive Form and music are intertwined, with music expressing the soul of forms

ArithmeticthroughGeometryilluminatesStars →
I. Arithmetic & Geometry

Geometry depends on arithmetic but arithmetic remains independent without geometry.

II. Geometry & Stars

Stars are used in the early development of geometric principles, reflecting the sympathy of early observational practices

ArithmeticthroughGeometryilluminatesSigns →
I. Arithmetic & Geometry

Geometry depends on arithmetic but arithmetic remains independent without geometry.

II. Geometry & Signs

Geometric principles are applied to the interpretation of celestial signs, enhancing the understanding of their meaning

ArithmeticthroughMusicilluminatesWomb →
I. Arithmetic & Music

Music depends on arithmetic but its impact on arithmetic is limited to one of its expressions.

II. Music & Womb

The influence of music, especially nursery rhymes, can start before birth