Visualization in Math and Language Research
I once sent a message to two of my favorite mailing lists. One was the ISGEM from the International Study Group for Ethnomathematics. The other was the Natural Math list.
I am a researcher from Brazil studying the relationship between math and language. My primary focus is exploring how grammar influences numerical reasoning.
Is about the similarities between mathematics and language.
My argument centers on the idea that both mathematics and language share structural and functional similarities. This is particularly evident in how numbers are used in discourse. Linguistic structures can also shape numerical reasoning.
It turns out that some liked. The dialogue was manually constructed, using spaces, special characters, and different phonetics to match the results. Some liked it, while others didn’t and suggested a more visual approach.
The main topic of my thesis was about the influence of grammar on numeric reasoning. I was focusing on the construction of something then. That was 2017, after I had finished the thesis, in 2015. Now, almost ten years later, the use of dialogues seems more purposeful.
Some liked the video, which I had manually constructed using spaces, special characters, and phonetics to achieve a specific result. I listened to the advice from a professor. He didn’t like the format, but he saw what I was trying to convey. Because this I began counting words as part of my post doc project.
In 2018, when I proposed interdisciplinary research combining linguistics and mathematics, some questioned my credentials. The answer about my proposal h was that I was not from mathematics. My advisors were a mathematician and one of the most respected authors in the field. As an interdisciplinary was involved as a linguist, knowledge my advisor had as proper for the research…
If you read this blog, you occasionally meet my academic wind adventures. These adventures sometimes push to the shore.
The next step was to create a way of experimenting with the connection analyses in the research. This was so I formulated my hypotheses. I hypothesized that numbers are discursively used in numerical reasoning. I also believed that images or metaimages are the core of it.
The next step was experimenting with ways to analyze these connections in my research. By “connection analyzed,” I refer to methods of investigating how linguistic elements relate to numerical cognition. I hypothesized that numbers are used discursively in reasoning. Images or metaimages are the actual traces that are read as numbers or letters. These are visual representations that go beyond simple images. They play a central role in this process.
The suggestion to use visualization was very useful. It opened the way for new concepts that I later got from the research. I will enhance the counting words communication. It will explicitly show the connection between language and numbers. I will particularly focus on their alphanumeric properties. This shift in communication is already underway.
I once wrote that humanization isn’t about form. I mentioned Google Duplex making a phone call to book a haircut, using interjections like “hmm” and “uh-huh.” That was in 2020, and now in 2024, we have LLMs doing similar tasks.
M y intention is to stress the argument: what can’t be brought to existence by human language can’t be calculated
Like everyone else, I consulted Google’s NotebookML tool on this. It’s important to acknowledge the pros and cons of such technologies. I believe they can be managed and used with purpose. Beyond the hype, this is the result.
Originally published at http://metaimagem.wordpress.com on October 16, 2024.
