Thomasina begins the play with her tutor explaining the definition of carnal embrace. Her immediate naivety is deceiving when the reader eventually discovers that her intelligence rates to that of a genius. She is strikingly sophisticated yet this characteristic is unknown by those who surround her and her innocence. Stated by her mother, Lady Croom, "ignorance should be like an empty vessel waiting to be filled at the well of truth - not a cabinet of vulgar curious." (11) http://ephs.edenpr.org/arcadiaweb/Characters/Arcadia_Character.html
Her inquisitive personality and intelligence is immediately apparent from the beginning of Act I Scene I.
"Do you think God is a Newtonian?"
She is not afraid of expressing her individual opinion, and her character is representative of youth, originality and willingness to accept new ideas. She is indeed capable of independent thought, as she disagrees with everyone else on the garden:
"In my opinion Mr Noakes' scheme for the garden is perfect."
Her character contributes to the exploration of mathematical and scientific themes within the play, such as her "jam theory", which suggests a chaos theory in place of traditional Newtonian physics. She is constantly coming up with her own personal theories top explain things, and does not rely on other peoples explanations:
"If you could…