Sandra Kroeker | Brock University (original) (raw)

Videos by Sandra Kroeker

Quantum theories are now being integrated into research in the social sciences and the reality qu... more Quantum theories are now being integrated into research in the social sciences and the reality quantum physics shows us challenges positivist assumptions about the universe. In this transdisciplinary exploration, quantum theories were found to have a decolonizing affect on research by supporting Indigenous understandings of the world (interconnectivity and an organismic worldview). In this presentation I discuss how quantum theories complicate researcher objectivity, falsify reductionism, and challenge a mechanistic worldview.

196 views

Papers by Sandra Kroeker

Athens Journal of Philosophy, May 1, 2024

Plato believed that behind everything in the universe lie mathematical principles. Plato was insp... more Plato believed that behind everything in the universe lie mathematical principles. Plato was inspired by Pythagoras (571 BCE), who developed a school of mathematics at Crotona that studied sacred geometry as a form of religion. The school's motto was "God is number," or "All is Number". Pythagoras believed that numbers represented God in pattern, symmetry, and infinity. When one of its students, Hippasus told the world the secret of the existence of irrational numbers, Greek geometry was born and Pythagoras' idea of divinity in numbers died because how could God not be perfect and symmetrical? In Plato's Republic he discusses something called The Divided Line, which is a map, of sorts, for reaching what he calls the highest Good, which is the ultimate truth where one realizes the true state of the universe and can see the world for what it really is. Many mathematicians have attempted to plot Plato's Divided Line only to come across a litany of problems and conundrums. Some have said that it the Divided Line cannot be plotted and is merely an allegory not meant to be plotted. This paper discusses some of the conundrums preventing the plotting of Plato's Divided Line (not an exhaustive list), including Whole 'vs' Separate, Equality 'vs' Ontological Dissimilarity, Linear 'vs' Non-linear, and Infinity 'vs' Finite. This paper also explores a new understanding of the Allegory of the Cave in light of 'the problem of the irrational.' In exploring the link between the Divided Line and the 'the problem of the irrational,' I was able to plot it. It was found that the Divided Line is not a line in the linear sense, but a spiral, the Golden Ratio! This paper is an example of a new category of scholarly inquiry I call "Math Theory" based on scholarly mathematical axioms in theory, rather than including actual maths. In my papers I use existing mathematical equations and place them in an encompassing theory, rather than finding new formulae to fit an existing theory.

Through transdisciplinary explorations, is paper analyzes some implications quantum theory has fo... more Through transdisciplinary explorations, is paper analyzes some implications quantum theory has for research in the social sciences. It was found that quantum theories complicate aspects such as researcher objectivity, behavioural prediction, Cartesian dualism, binaristic thinking, reductionism, positivist ontology, mechanistic worldviews, and ‘simple causality.’ Three interesting aspects developed whilst exploring researcher objectivity, that may change future understandings of humanity’s place in the universe. It was postulated that 1) human beings are co-producers of life (Barad, 2003/2007) through Bohm’s (1952) structure-process and 2) that light and consciousness could be entangled because they can communicate with each other simultaneously; as found through the ‘delayed choice’ experiments (Buks et al.,1998; Zurek, 2003). Due to the robust findings of particle-wave dualism (Young, 1802), this article suggests a reality based on the primacy of processes and complex systems. It is called collapse ontology or a collapse methodology which can be used for overcoming binaristic thinking and dualistic hierarchies, which can then allow researchers to explore both individual and collective modalities without contradiction. It was also suggested that it is not ethical to reduce complex, emergent systems to their parts.
Key Words
Transdisciplinarity, quantum consciousness, pan-experientialism, interconnectivity, decolonization of research, Neo-Platonism, ontology, epistemology, holism, post structuralism, systems theory, complexity theory, panpsychism, post enlightenment.

Reaching the Higher Good, 2010

Is it true what Plato says, that everything we learn is false? Is it true that the Divided line ... more Is it true what Plato says, that everything we learn is false?
Is it true that the Divided line has not yet been plotted?
This paper does what mathematicians have been trying to do for centuries. It plots Plato's divided line.

The History of Energy, 2008

To complete my undergrad in psych I had to write this paper. The task was to find something inter... more To complete my undergrad in psych I had to write this paper. The task was to find something interesting you in the field of psychology and trace it back to different eras of origin. Mine begins with Energy Psychology and Feinstein and ends with Pythagoras. Enjoy

Quantum theories are now being integrated into research in the social sciences and the reality qu... more Quantum theories are now being integrated into research in the social sciences and the reality quantum physics shows us challenges positivist assumptions about the universe. In this transdisciplinary exploration, quantum theories were found to have a decolonizing affect on research by supporting Indigenous understandings of the world (interconnectivity and an organismic worldview). In this presentation I discuss how quantum theories complicate researcher objectivity, falsify reductionism, and challenge a mechanistic worldview.

196 views

Athens Journal of Philosophy, May 1, 2024

Plato believed that behind everything in the universe lie mathematical principles. Plato was insp... more Plato believed that behind everything in the universe lie mathematical principles. Plato was inspired by Pythagoras (571 BCE), who developed a school of mathematics at Crotona that studied sacred geometry as a form of religion. The school's motto was "God is number," or "All is Number". Pythagoras believed that numbers represented God in pattern, symmetry, and infinity. When one of its students, Hippasus told the world the secret of the existence of irrational numbers, Greek geometry was born and Pythagoras' idea of divinity in numbers died because how could God not be perfect and symmetrical? In Plato's Republic he discusses something called The Divided Line, which is a map, of sorts, for reaching what he calls the highest Good, which is the ultimate truth where one realizes the true state of the universe and can see the world for what it really is. Many mathematicians have attempted to plot Plato's Divided Line only to come across a litany of problems and conundrums. Some have said that it the Divided Line cannot be plotted and is merely an allegory not meant to be plotted. This paper discusses some of the conundrums preventing the plotting of Plato's Divided Line (not an exhaustive list), including Whole 'vs' Separate, Equality 'vs' Ontological Dissimilarity, Linear 'vs' Non-linear, and Infinity 'vs' Finite. This paper also explores a new understanding of the Allegory of the Cave in light of 'the problem of the irrational.' In exploring the link between the Divided Line and the 'the problem of the irrational,' I was able to plot it. It was found that the Divided Line is not a line in the linear sense, but a spiral, the Golden Ratio! This paper is an example of a new category of scholarly inquiry I call "Math Theory" based on scholarly mathematical axioms in theory, rather than including actual maths. In my papers I use existing mathematical equations and place them in an encompassing theory, rather than finding new formulae to fit an existing theory.

Through transdisciplinary explorations, is paper analyzes some implications quantum theory has fo... more Through transdisciplinary explorations, is paper analyzes some implications quantum theory has for research in the social sciences. It was found that quantum theories complicate aspects such as researcher objectivity, behavioural prediction, Cartesian dualism, binaristic thinking, reductionism, positivist ontology, mechanistic worldviews, and ‘simple causality.’ Three interesting aspects developed whilst exploring researcher objectivity, that may change future understandings of humanity’s place in the universe. It was postulated that 1) human beings are co-producers of life (Barad, 2003/2007) through Bohm’s (1952) structure-process and 2) that light and consciousness could be entangled because they can communicate with each other simultaneously; as found through the ‘delayed choice’ experiments (Buks et al.,1998; Zurek, 2003). Due to the robust findings of particle-wave dualism (Young, 1802), this article suggests a reality based on the primacy of processes and complex systems. It is called collapse ontology or a collapse methodology which can be used for overcoming binaristic thinking and dualistic hierarchies, which can then allow researchers to explore both individual and collective modalities without contradiction. It was also suggested that it is not ethical to reduce complex, emergent systems to their parts.
Key Words
Transdisciplinarity, quantum consciousness, pan-experientialism, interconnectivity, decolonization of research, Neo-Platonism, ontology, epistemology, holism, post structuralism, systems theory, complexity theory, panpsychism, post enlightenment.

Reaching the Higher Good, 2010

Is it true what Plato says, that everything we learn is false? Is it true that the Divided line ... more Is it true what Plato says, that everything we learn is false?
Is it true that the Divided line has not yet been plotted?
This paper does what mathematicians have been trying to do for centuries. It plots Plato's divided line.

The History of Energy, 2008

To complete my undergrad in psych I had to write this paper. The task was to find something inter... more To complete my undergrad in psych I had to write this paper. The task was to find something interesting you in the field of psychology and trace it back to different eras of origin. Mine begins with Energy Psychology and Feinstein and ends with Pythagoras. Enjoy