Syntax Literate: Jurnal Ilmiah
Indonesia p�ISSN: 2541-0849 e-ISSN: 2548-1398
Vol. 7, No. 5, Mei 2022
GOD,
ASTRONOMY, AND MATHEMATICS: AN INVESTIGATION OF SPIRITUAL ASPECTS OF JOHANNES
KEPLER'S THOUGHT
Wiwit Kurniawan, Tri Hidayati
Universitas Pamulang, Indonesia
Email: [email protected],
[email protected]
Abstrak �
Kepler adalah tokoh astronom
terkemuka yang membuat penemuan tentang orbit planet yang elips. Teori
astronominya telah menyajikan visi tentang bagaimana kosmos mencerminkan
keagungan Tuhan melalui hukum matematika. Penelitian ini akan melihat ide-ide
astronomi dan matematika Kepler, yang dipengaruhi oleh keyakinan pada Tuhan.
Diskusi dalam kajian ini menggali pemikiran Kepler tentang: struktur dan genealogi
ide-ide Kepler; keyakinan diri Kepler sebagai seorang ahli agama dan astronom;
harmoni kosmos dalam interaksi Tuhan, geometri, dan alam; serta metafora, dan
esensi keilahian. Kepler percaya pada alam semesta yang harmonis dan
keterkaitan antara Tuhan, geometri, dan alam semesta. Menurut Kepler, Manusia
dapat merangkul esensi ketuhanan, karena geometri yang mengatur tatanan alam
semesta setara dengan keilahian. �
Kata kunci: kepler; tuhan; astronomi;
geometri; matematika
Abstract �
Kepler was a prominent astronomer who made discoveries regarding elliptical planets' orbits. His
astronomical theory has presented a vision of how the cosmos reflects God's
magnificence through mathematical laws. The discussion in this study explores
Kepler's thoughts on the structure and genealogy of Kepler's ideas; Kepler's
self-confidence as a religious scholar and astronomer; the harmony of the
cosmos in the interaction of God, geometry, and nature; as well as metaphors,
and the essence of divinity. Kepler believed in a harmonious universe and the
interrelationship between God, geometry, and the universe. Kepler believed in a
harmonious universe and the interconnectedness of God, geometry, and the universe.
According to Kepler, Humans can embrace the essence of divine, because the
geometry that governs the universe's order is equivalent to divinity.
Keywords: kepler; god; astronomy; geometry; mathematics
Introduction
�
In today's modern era, mathematics
and astrology are considered as separate fields from divinity and spirituality (Krajewski 2021). In fact, the two are considered
contradictory, and many studies show a conflict between the two. But if we look
at in history, we will see that mathematics and astrology are a form of unity
with religiosity. At the beginning of its development, various mathematical
concepts were part of an interrelated religious system. Even in the 17th century, many mathematicians were religious in perceiving
mathematics, such as Newton, Pascal, Leibniz, and Cantor (Krajewski
2021). At the beginning of the scientific revolution in Europe,
mathematics was still considered a religious field. For example, History
records that Kepler's thoughts on astronomy reflected the divinity and
spirituality he believed in.
Johannes Kepler was one of the
brilliant thinkers at the beginning of the scientific revolution who confirmed
Copernicus's heliocentric theory as a brilliant mathematician (Armstrong
1999). On the other hand, Kepler was also an avid learner of
religion. Kepler was a figure at a classic astronomer who made discoveries
about the elliptical orbits of planets. His various works such as New Astronomy
and Harmonies of The Word have provided a view of how the cosmos, which works based
on mathematical principles, and those reflect God's majesty.
Johannes Kepler was born on December
27, 1571, in Germany. Kepler is considered a philosopher, mathematician,
astronomer, and a devout Lutheran (Boner 2013; Rothman 2017).
Kepler had a brilliant career in astronomy. Before finishing his studies at
T�bingen, Kepler was asked to teach mathematics at a Protestant school in Graz
(present-day Austria). Kepler was also an assistant to the great astronomer
Tycho Brahe and later became the royal mathematician for Rufolf
II. Throughout his career, Kepler thought about devotion to God. Thus, in one
of his books, Mysterium Cosmographicum,
he calls himself a servant of God who reads His verses in the universe. In
Kepler, there is a belief that divinity can be embraced through
mathematics/geometry, which is the blueprint for constructing the universe.
In history, mathematics is a broad
study and closely related to divinity. Etymologically, the word mathematics is
rooted in the word "mathesiz" which means
"study" (Raju 2006). Therefore, mathematics was
considered a broad scientific discipline in the ancient world and included
various endeavors to fulfill the desire to know. Then, it is not surprising
that the great Greek philosopher, Plato, wrote at his academic entrance:
"Let no man ignorant of geometry enter here".
Johannes Kepler lived in an era where
modern science began to grow and develop. However, the connectivity between
spirituality and mathematics is still robust. At that time, the mathematics
curriculum was divided into four sections called quadrivium, namely:
arithmetic, astronomy, geometry, and music (Boner 2013:39).
The four are a series of knowledge that tries to investigate order, logic,
quantity, and harmony. At that time, astrology also still had a strong
influence and was considered an essential part of astronomy. Therefore, the
astronomy curriculum is not like today's modern era, a vacuum of spirituality.
Astronomy at that time, as understood and studied by Kepler, was a broad form
of knowledge that was not only counting and measuring celestial entities but
was an attempt to understand how God works in the universe. Astronomy offers a
worldview and a philosophical view of the nature and behavior of divinity (Raju
2006).
Leach said that Empirical science
cannot answer metaphysical questions (Leach 2008:659).
The link between mathematics and metaphysics and religion is firm, as Bradley
explains that many mathematics-related questions are spiritual and metaphysical :
Nevertheless, questions
that have the potential to engage both disciplines have persistent. For example , some major questions are: Is mathematics
discovered or invented? Do math concepts like infinity point beyond themselves
to a higher reality? can the idea that randomness exists in nature be
reconciled with God's sovereignty? what is the nature of truth? How do we
account for the fact that mathematics is so effective in describing the natural
world ? Mathematical entities like 2,
, , and 4 are not physical objects like atoms and galaxies; are they
ideas in the mind of God , as Augustine argued, or something else entirely? Do
principles of logic apply only to the natural world or to God also? (Bradley
2011:1) �
In fact, mathematics is not
completely separated from the sacred in this modern era. Voker Kessler (2019)
says that there are four gates through which spirituality can enter
mathematics. The four gates are the view of Platonism, the beauty of
mathematics, the study of patterns, and mathematical inner vision (Kessler 2019:49).
Broadly speaking, the four gates require mathematicians to have a spiritual
perspective or paradigm in viewing mathematics. So, what is in mathematics can
be considered as a form of interaction with God. These four things describe the
phenomenon of how mathematics and spirituality come together. Kurniawan and Hidayati (2020) explained that Kessler mentioned four
things were more about the form of interaction, not the area where mathematics
and spirituality encounter. Kurniawan and Hidayati (2020) said that
there are at least five dimensions where mathematics and spirituality can
interact, namely the ontology, epistemology, teleology, and theoretical and
practical dimensions of mathematics. From the explanation above, it can be
concluded that mathematics and divinity have the opportunity to interact with
each other in various study areas and forms.
The emergence of sacred things in
mathematics is not only in the paradigm of mathematicians. Every mathematical
activity contains elements of metaphysics as revealed by Rittberg that
metaphysical thinking and mathematical activity develop together as a
reciprocal thing in mathematical activity (Rittberg 2020). In
geometry, mathematicians see how the ideal geometric size and shape concepts
have beautiful order and harmony. These geometric forms are an eternal entity
and an immaterial view (Rittberg 2020). Therefore, geometry is nothing but a
form of metaphysical activity.
Various great thinkers associated
geometry with the divine, such as Pythagoras, Galileo, Plato, and Kepler. In
Kepler 's view, geometry is not just the language of God, as Galileo said,
moreover, it is the essence of divinity. As an astronomer, Kepler did not
abandon his religious thinking. Even Kepler views his mathematical activities
as part of reading God's verse in the universe.
Various studies on Kepler have been
carried out from various perspectives. Like Boner, who saw Kepler's thinking as
a form of synthesis between astrology and astronomy and bridged Lutherian views in the new astronomy (Boner 2013). In
addition, Aviva Rothman examines Kepler's thoughts in the perspective of the
search for the harmony of the cosmos (Rothman 2017).
Kepler�s specific studies of light were also carried out by Gebhart which provided the concept of harmony in universe (Gebhart 2009). The above studies have provided a
comprehensive view of Kepler's thoughts on astronomy and its relation to
divinity. However, there needs to be further study of how Kepler's ideas about
divinity manifested in his astronomical work. Therefore, this study will
investigate Kepler's thoughts in astronomy and mathematics, inspired by his
religious belief in God.
Kepler's mathematical and
astronomical concepts reflect his belief in divinity, a study will be described
in the form of the foundations and genealogy of Kepler's thoughts, Kepler's
self-confidence as a religionist as well as astronomer, the harmony of the
cosmos in the interaction of God, geometry and nature, metaphors and the
essence of divinity.
Research Method
The research method used is the
literature review method. This study analyzes various literatures related to
the themes raised. In this case, the theme raised is about Johannes Kepler's
thoughts regarding divinity in his astronomical works. This study analyzes the
works of Johannes Kepler such as The Harmonies of Word and Mysterium
Cosmographicum. In addition, this study also uses
various books and journals that are relevant to the theme. The research stage
in this literature review is to determine the study topics, look for sources relevant
to the topic, carry out in-depth reading and analysis, perform reduction by
coding and determining patterns, and finally analyze the patterns in the
existing discourse.
Result and Discussion
Kepler 's Genealogy of Thought
To understand more deeply about
Kepler's thinking, here will be discussed about the various discourses and
thoughts that underlie the mindset of the astronomer Johannes Kepler. In his
book Convinced by Comparison: Luterian Doctrines and
Neoplatonic Conviction in Kepler's theory of Light, Gebhart
explained that in general, Kepler was strongly influenced by religious thought,
especially Lutherian (Gebhart
2009). The religious concept that he adheres to provides a paradigm for the
knowledge he gains. In this case, we can see how Kepler tried to reconcile and
harmonize the Christian theology of the trinity with the astronomical
discoveries he made. In terms of geometry and mathematics, Kepler also followed
the Pythagorean thinking, which gave a sacred value to numbers and shapes. As Bradley,
He (Kepler) stood firmly within the Pythagoreans tradition by affirming that
astronomy is based on fundamental harmonies analogous to musical harmonies and
within the Platonic tradition by affirming that geometry has a special form of
transcendence (Bradley 2011:13).
However, what is different is that
Kepler refers to the Godhead according to religious dogma, rather than to the
divine impersonal like the Pythagoreans. His professor, Michel Maestlin, introduced Kepler's thoughts on Coperniscus at Tubigen, In addition to supporting the Copernican concept, Maestlin promoted the Lutheran beliefs that underlie
Kepler's study of Astronomy. Maestlin explained that
knowledge of nature is knowledge of God's plan and knowledge of geometry is a
gift of God where it is already written on the human soul when it was created (Gebhart 2009).
Despite having a different view of
the Pythagoreans, regarding divinity, Kepler has a general thing in common:
Kepler saw mathematics as the archetype of the universe. Cardona (2016), In
his paper entitled Neopythagoreanism in the work of
Johannes Kepler, explained that there are technical similarities in viewing the
cosmos between the Keper and the Pythagoreans (Cardona
2016). The fundamental similarity is the recognition of the
existence of universal harmony. This harmony is an implication of the
mathematical/geometric paradigm used to understand the universe. As the Pythagorean
understanding that the universe is arranged with specific numbers and ratios
that manifest as natural harmony. In this case, Kepler can indeed be considered
a follower of Pythagorean thought, but regarding divinity, it seems Kepler
maintains his belief as a true Protestant. Kepler differed significantly in his
views on numbers. The Pythagoreans refer to numbers as things that refer to
metaphysical entities, but Kepler relies more on quantities which refer to
concrete and empirical sizes and spaces (Rothman 2017). In Mysterium, Kepler stated, �I had then reached the point of
ascribe to this same Earth the motion of the Sun, but where Copernicus did so
through mathematics arguments, mine were physical, or rather, metaphysical � (Kepler 1981).�
Religious Mathematicians
As a Lutheran, Kepler held the faith
in his daily life and in his intellectual work. Therefore, he defines himself
as an priest-astronomer who serves the Highest God with respect to the �book of
Nature� (Rothman 2017:19). In his letter to Masline,
Kepler wrote "I wanted to be a theologian; for long time I was distress;
behold, God now celebrated too in my astrological work � (Rothman 2017:5).
This confirms that Kepler realized that his desire to serve God could also be
channeled through mathematical activity in astronomy. This activity is
considered as a worship to God because geometry is the link between God, Man,
and nature (Rothman 2017:5). �
In his book Mysterium,
which he published in 1596, Kepler wrote that he was a priest who studied the
"books of nature", the works of God the creator glorified by an
astronomer. This explains that the word of God in nature is another religious
field that deals with divinity besides the scriptures. Here Kepler views nature
modeled in geometry as something sacred.
Cosmos Harmony: The Relationship of
Geometry, Nature and God
The concept of a harmonious cosmos is
widely discussed in Plato's works. In addition, the views of the Pythagorean
sect also carry this idea. It seems that the idea of the Ancient Greek era
still resonated at the beginning of modernity in Europe, as adopted by Johannes
Kepler. In his book Harmonies of The World, Kepler seemed to emphasize that the
idea of the Cosmos was still relevant for that era (Kepler 1997; Rothman 2017).
The existence of harmony in the
universe implies the mathematical-geometric paradigm in viewing the universe.
It was believed by Plato, Pythagoras, and also Kepler that geometry could
perfectly model the universe. Because geometry is an ideal concept that is logical,
harmonious, consistent, and obvious, it is also a characteristic of what is
being modeled, namely Nature. Boner (2013) explained that Harmonies of
The World is an entirely well-organized work of Kepler (Boner 2013). In
his book Kepler understands that the celestial configuration (sky) and
resonance archetypes resonate in the sublunary share.
Galileo Galilei argued that the
language of God in the universe is geometry. This is because geometric concepts
can describe the order of the universe. In Kepler 's opinion, the idea is still
resonating and evolving. Kepler views that this harmonious geometry is a
blueprint for the universe's design.
In his view and the theological
interpretation of his own work, Kepler sees the harmony of the form of the
solar system as an illustration of the concept of religious theology. The
regularity of the planets' motions and their distances and trajectories is
described as a metaphor for the trinity concept.
Metaphor Kepler on Divinity
One of Kepler's metaphors for the
cosmos is the assumption that the universe is like a clockwork that is ordered
and driven by a single force. In addition, the solar system is also a metaphor
as an illustration of the concept of the Trinity. Gingerich (2011)
explained that Kepler has a theological framework in his work based on the
metaphorical symbolism of the trinity, with the sun as God the Father, the
Firmament as the Son, and the intervening space as the Holy Spirit (Gingerich
2011:43). With this, Kepler tries to reconcile or harmonize how the
Heliocentric theory can be accepted and following the concept of the Trinity.
This endeavor, although risky, appears to be paying off, considering that a
sentencing case like Galileo's did not happen. Kepler argued that the planets
move faster the closer they are to the sun. Then it is concluded that the
source of the motion is the sun. This is used as a metaphorical identification
that the sun in the middle is likened to God providing action, as in the
Copernican system. This depiction of the Trinity in the solar system was why
Kepler accepted the idea that the cosmos was centered on the sun (Gingerich
2011).
In the metaphor of a clockwork,
Kepler explained that the causes of planetary motion are the same as the gears
in a clock (Boner 2013:5). There is an order to it, and what makes this
more of divinity is the notion of the origin of the movement. A clockwork
movement that has a single source of motion, even though the machine has many
gears that move intertwined. It is used as a metaphor for the solar system and
the universe has a single source of motion.
In this case, Kepler was referring to
the Platonic notion of a celestial machine driven by the soul. However, Kepler
rejects the conception that the source of motion is the soul, and this is
because he does not want to regard the soul as the causal essence of the motion
of the universe. To regard the soul as the mover is tantamount to discrediting
God as the Almighty (Boner 2013:12�13).
Finding God's Essence
As understood by ancient
mathematicians, Mathematics is considered as a bridge to a noumenal world (Bradley
2011:18). Rationality in mathematics presents knowledge that cannot
be obtained from empirical sensory experience. Therefore, mathematics is seen
as a tool to unravel the mysteries of the universe that are not accessible to
the human senses. In his view, Kepler saw mathematics as more than just a tool
to enter the divine world that exists in the cosmos. Furthermore, Kepler viewed
mathematics or geometry as part of God, which describes the astronomical order.
As an astronomer based on the belief
in divinity, Kepler saw geometry as something theological. As explained by Rothman
(2017) in a chapter of his book entitled The Study of Divine Things:
Kepler as Astronomer-Priest, that � Kepler's personal metaphysics was itself
theological from the start, as it starts with a particular conception of God
and proceed to link God, man, and nature via the idea of geometry " (Rothman
2017:5). There is a fundamental difference between Kepler and
Pythagoreans, where Kepler saw the harmony of the universe in geometry as a
theological form. On the other hand, the Pythagoreans refer to something more
metaphysical about the phenomenon.
Kepler's theological view of
astronomy also differed from that of other theologians of his time and other
thinkers such as Galileo who saw God as an entity outside the universe.
Theologians around Kepler viewed that there is a barrier between divinity and
human. Therefore, geometry and mathematics are tools to see the signs of
divinity, not the essence of divinity. But Kepler did not think so. Kepler
seems to have a negative theological view. In the concept of negative theology,
there is a premise that God is different from his creation. Therefore, to
identify divinity, it can be detected with something that has contradictory
(negative) properties with creation. The properties in geometry is in the form of regularity, truth, and eternity which are
certainly not the nature of creation. Therefore, geometry has divine
characteristics. Kepler's opinion on this is explained by Bredley (2011) that:
Kepler restricted all
primary causes in creation to the mathematics archetypes. Mathematical
knowledge is based on definitions plus formal logic, so in doing mathematics we
share God's thoughts � that is , we speak with one
voice with God. Hence it is possible for humans to read God's design in the
universe on the basis of a rigorous mathematics methodology (Bradley
2011:13�14). �
From this it can be concluded that
Kepler rejected the existence of boundaries between humans and God. Kepler
argued that the essence of divinity was in geometry. Geometry is coeternal with
God and geometric entities are part of God's essences; the constructible
geometric objects served as the archetypes of creation (Bradley 2011:13�14). �Consequently, when he deepens geometry, he is
actually in a state of epiphany or encounter with divinity.
Conclusion
Various mathematics-related things such as geometry and
astronomy have a strong connection with God and spirituality. Secularism and
modernity make the two things seem separate from each other. In fact, in its
history, mathematics and divinity are interrelated discussions. In the thought
of Johannes Kepler, there is a strong and reciprocal correlation between God,
Mathematics, and Astronomy. Kepler has brought a new theory about the solar
system in the form of elliptical orbits of the planets. More than that, Kepler
still carries the divinity and spirituality he embraces in his theory. Kepler
believed in the existence of a harmonious universe and the interrelationship
between God, geometry, and the universe. As a form of resonance for the
theology he professes, Kepler forms a metaphor for the theory he makes. In
addition, Kepler argues that humans can embrace the essence of divinity because
the geometry that applies to the order of the universe is equivalent to
divinity.
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