South American Research Journal, 4(1), 13-20
https://www.sa-rj.net/index.php/sarj/article/view/52
ISSN 2806-5638
Proper grammar use elevates writing and reading style,
enabling individuals to use figurative, stylized, and
structurally rich language, capable of achieving the intended
description of the idea, marking a significant difference
when communicating with others.
and countable elements. It delimits basic mathematical
operations, focusing on developing logical thinking,
problem-solving, and systematic analysis, considered one of
the fundamental fields of various sciences. From a medieval
perspective, it is determined that:
Rhetoric: Considered the purest and most
accomplished manifestation of language, rhetoric is
complemented by grammar and dialectic, forming a
cohesive path allowing individuals to properly articulate
and execute words. Its use is directly related to literature due
to the level of manifestation understood in its process. It is
determined that rhetoric consists of the following elements:
“Philology’s third thought was dedicated to numerical
analysis, intending to discover the harmonic relationship
that would link her with Mercury. She counted the number
of letters in her future husband's name with her fingers; and
did the same with her own.” (De la Iglesia, 2021, p. 129).
In this context, it is established that numbers are
inherent to life; consequently, operations and manipulations
of quantities are essential in the development of human
knowledge. From a medieval perspective, numbers were
considered sacred due to various configurations and
subjective representations of what they might represent.
Thus, it is established as follows:
“
the correct knowledge of the language, whose rules are
established by Grammar’s wisdom, and the fluency and
beauty of the exposition, both of which come not from
natural abilities but from daily practice and effort” (De la
Iglesia, 2021, p. 138).
As the highest expression of language, rhetoric is
interpreted as an elegant and prestigious element, capable of
attracting the attention of anyone in its presence. Thus, “In
Margarita Philosophica, Rhetoric is represented as an
elegant and sumptuously dressed young matron, as her
initial intention is to please those who come to hear her
argumentation” (De la Iglesia, 2021, p. 139).
“Recognize the sacred properties of the number one
above all things and as the origin of even your divinity,
which is why it is revered with the appellation of beginning.
The unit is part of the whole and, at the same time, only
needs itself to exist.” (De la Iglesia, 2021, p. 147).
The art of arithmetic is represented in the foundations
of the liberal arts as a young woman with two books, one in
each hand, presenting the most important written
representations of numerical operations, corresponding to
“Pythagoras and Boethius, competing, one with the abacus
and the other with Arabic numeration, to determine which
system is the fastest in performing mathematical
calculations” (De la Iglesia, 2021, p. 148).
Dialectic: According to De la Iglesia (2021), dialectic
responds to all learning disciplines, based on six elements:
“
The first concerns terms, the second pronunciation, the
third proposition, the fourth syllogisms, the fifth critical
reasoning, and the sixth refers to the proper style of orators”
(
p. 142). It guides logical thinking, argument analysis, and
information synthesis, producing a final argument based on
reliable knowledge. It is the work of thought that guides the
dilution of objective information based on evaluations and
perspectives of contradiction and affirmation.
The Quadrivium: As its name suggests, corresponds
to four elements or paths of knowledge. It represents the
knowledge of numbers or the world’s external knowledge.
It is recognized as the art of understanding the surroundings
that encompass a person. The presented paths are considered
studies of the art of numbers, leading to the development of
thinking, knowledge, teaching, and learning. Its medieval
origin establishes that:
Music: Represents the second path of knowledge in
the quadrivium, determined as the study of numbers through
movement and their passage over time. Music is the art of
interpreting the harmony of sound structure. It is deeply
rooted in mathematical knowledge because it involves the
logical and orderly understanding of symbols and elements
that together form a general, objective, and coherent result.
Historically, music is conceived as Arithmetic’s twin sister:
“From the moment I was conceived as Arithmetic’s
twin sister, I have never abandoned my relationship with
numbers. I have followed and studied the orbits of the stellar
spheres, assigning their swift movements the corresponding
tones, allowing them to interpret the symphony of the stars
known perfectly to all present here.” (De la Iglesia, 2021, p.
152).
Thus, music represents the art of combining elements
forming complex and complete structures that result in the
harmony of sound. This entire process, using the knowledge
of composition elements, is established as a complete
learning element.
Geometry: This path studies and interprets
numeration in space. It corresponds to the study of figures,
lines, solids, and positions. It encompasses a natural thought
of humans in the quest for knowledge through
experimentation, measurement, and calculation of their
surroundings. De la Iglesia (2021) states that:
“
Mercury, fulfilling his duty as a husband, presented
to Philology the main dowry of his divine wedding gift:
seven wise maids who would help his beloved in her
constant advancement toward knowledge […] the other four
(
Arithmetic, Music, Geometry, and Astronomy) would
provide her with a broader understanding of the external
world.” (De la Iglesia, 2021, p. 131).
While the trivium was characterized by internal
knowledge and the development of inner skills, the
quadrivium focuses on spatial aspects surrounding a person,
those arts waiting to be studied and understood by humans,
allowing for a broader understanding of their environment.
These paths of the liberal arts respond to stillness and
movement, contemplating an unavoidable duality of the
exterior. “The Quadrivium is dedicated to quantity, which
can be permanent and motionless (Arithmetic and
Geometry) or permanently in motion (Music and
Astronomy)” (De la Iglesia, 2021, p. 148).
“The toga covering the head of Tibaldi’s Geometry is
like Arithmetic’s, as both come from warmer lands than
Greece. They grew in pre-Pharaoh Egypt, though their birth
possibly took place in ancient Mesopotamia bathed by the
Euphrates and Tigris.” (p. 157).
Arithmetic: Represents the first path of the
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