From Wikipedia:
Female emancipation
The safety bicycle gave women unprecedented mobility, contributing to their emancipation in Western nations. As bicycles became safer and cheaper, more women had access to the personal freedom they embodied, and so the bicycle came to symbolize the New Woman of the late 19th century, especially in Britain and the United States.
The bicycle was recognized by 19th-century feminists and suffragists as a "freedom machine" for women. American Susan B. Anthony said in a New York World interview on February 2, 1896: "Let me tell you what I think of bicycling. I think it has done more to emancipate women than anything else in the world. It gives women a feeling of freedom and self-reliance. I stand and rejoice every time I see a woman ride by on a wheel... the picture of free, untrammeled womanhood." In 1895 Frances Willard, the tightly laced president of the Women’s Christian Temperance Union , wrote a book called How I Learned to Ride the Bicycle, in which she praised the bicycle she learned to ride late in life, and which she named "Gladys", for its "gladdening effect" on her health and political optimism. Willard used a cycling metaphor to urge other suffragists to action, proclaiming, "I would not waste my life in friction when it could be turned into momentum."
The bicycle craze in the 1890s also led to a movement for so-called rational dress, which helped liberate women from corsets and ankle-length skirts and other restrictive garments, substituting the then-shocking bloomers.
Personal aside: I couldn't find a quote, but I remember reading an article about how hard the clergy came down on female bike riding. Away from Husbands, Fiance's, and Parents! What immoral things might a woman be tempted into by riding off by herself?
So, bicycle allowed women greater freedom and less restrcitions. Who wanted Eve to enjoy greater freedom and less restriction? Wasn't it...Satan?!!!
So, while Caleb should be allowed to ride a bike, Caleb's mom should not, since the bicycle has such a terrible history.